Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(99,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bi (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 307.19 | ||
Character | \(\chi\) | \(=\) | 416.307 |
Dual form | 416.2.bi.a.187.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.672951 | − | 1.24384i | −0.475848 | − | 0.879527i | ||||
\(3\) | 1.34047 | + | 0.555241i | 0.773920 | + | 0.320568i | 0.734459 | − | 0.678653i | \(-0.237436\pi\) |
0.0394612 | + | 0.999221i | \(0.487436\pi\) | |||||||
\(4\) | −1.09427 | + | 1.67409i | −0.547137 | + | 0.837043i | ||||
\(5\) | 3.73491 | + | 1.54705i | 1.67030 | + | 0.691863i | 0.998792 | − | 0.0491308i | \(-0.0156451\pi\) |
0.671512 | + | 0.740994i | \(0.265645\pi\) | |||||||
\(6\) | −0.211441 | − | 2.04098i | −0.0863202 | − | 0.833226i | ||||
\(7\) | −0.167444 | −0.0632878 | −0.0316439 | − | 0.999499i | \(-0.510074\pi\) | ||||
−0.0316439 | + | 0.999499i | \(0.510074\pi\) | |||||||
\(8\) | 2.81869 | + | 0.234521i | 0.996557 | + | 0.0829157i | ||||
\(9\) | −0.632754 | − | 0.632754i | −0.210918 | − | 0.210918i | ||||
\(10\) | −0.589131 | − | 5.68672i | −0.186300 | − | 1.79830i | ||||
\(11\) | 0.0478422 | − | 0.115501i | 0.0144250 | − | 0.0348250i | −0.916503 | − | 0.400028i | \(-0.869000\pi\) |
0.930928 | + | 0.365203i | \(0.119000\pi\) | |||||||
\(12\) | −2.39636 | + | 1.63648i | −0.691770 | + | 0.472410i | ||||
\(13\) | −1.91671 | + | 3.05389i | −0.531599 | + | 0.846996i | ||||
\(14\) | 0.112681 | + | 0.208273i | 0.0301154 | + | 0.0556633i | ||||
\(15\) | 4.14755 | + | 4.14755i | 1.07089 | + | 1.07089i | ||||
\(16\) | −1.60513 | − | 3.66382i | −0.401283 | − | 0.915954i | ||||
\(17\) | 4.75422 | 1.15307 | 0.576534 | − | 0.817073i | \(-0.304405\pi\) | ||||
0.576534 | + | 0.817073i | \(0.304405\pi\) | |||||||
\(18\) | −0.361232 | + | 1.21286i | −0.0851431 | + | 0.285873i | ||||
\(19\) | −2.62674 | + | 1.08803i | −0.602616 | + | 0.249612i | −0.663068 | − | 0.748559i | \(-0.730746\pi\) |
0.0604517 | + | 0.998171i | \(0.480746\pi\) | |||||||
\(20\) | −6.67692 | + | 4.55967i | −1.49300 | + | 1.01957i | ||||
\(21\) | −0.224453 | − | 0.0929715i | −0.0489797 | − | 0.0202881i | ||||
\(22\) | −0.175861 | + | 0.0182187i | −0.0374936 | + | 0.00388425i | ||||
\(23\) | 0.822050 | + | 0.822050i | 0.171409 | + | 0.171409i | 0.787598 | − | 0.616189i | \(-0.211324\pi\) |
−0.616189 | + | 0.787598i | \(0.711324\pi\) | |||||||
\(24\) | 3.64815 | + | 1.87942i | 0.744675 | + | 0.383635i | ||||
\(25\) | 8.02068 | + | 8.02068i | 1.60414 | + | 1.60414i | ||||
\(26\) | 5.08840 | + | 0.328959i | 0.997917 | + | 0.0645142i | ||||
\(27\) | −2.16258 | − | 5.22093i | −0.416188 | − | 1.00477i | ||||
\(28\) | 0.183229 | − | 0.280315i | 0.0346270 | − | 0.0529746i | ||||
\(29\) | −0.362881 | + | 0.876073i | −0.0673854 | + | 0.162683i | −0.953984 | − | 0.299856i | \(-0.903061\pi\) |
0.886599 | + | 0.462539i | \(0.153061\pi\) | |||||||
\(30\) | 2.36779 | − | 7.94999i | 0.432297 | − | 1.45146i | ||||
\(31\) | −1.60097 | + | 1.60097i | −0.287542 | + | 0.287542i | −0.836108 | − | 0.548565i | \(-0.815174\pi\) |
0.548565 | + | 0.836108i | \(0.315174\pi\) | |||||||
\(32\) | −3.47702 | + | 4.46210i | −0.614656 | + | 0.788795i | ||||
\(33\) | 0.128262 | − | 0.128262i | 0.0223276 | − | 0.0223276i | ||||
\(34\) | −3.19936 | − | 5.91349i | −0.548686 | − | 1.01415i | ||||
\(35\) | −0.625388 | − | 0.259044i | −0.105710 | − | 0.0437864i | ||||
\(36\) | 1.75169 | − | 0.366879i | 0.291948 | − | 0.0611466i | ||||
\(37\) | 4.11822 | − | 9.94226i | 0.677031 | − | 1.63450i | −0.0923646 | − | 0.995725i | \(-0.529443\pi\) |
0.769396 | − | 0.638772i | \(-0.220557\pi\) | |||||||
\(38\) | 3.12101 | + | 2.53505i | 0.506294 | + | 0.411240i | ||||
\(39\) | −4.26493 | + | 3.02941i | −0.682936 | + | 0.485094i | ||||
\(40\) | 10.1647 | + | 5.23657i | 1.60719 | + | 0.827975i | ||||
\(41\) | 1.57976i | 0.246717i | 0.992362 | + | 0.123359i | \(0.0393665\pi\) | ||||
−0.992362 | + | 0.123359i | \(0.960633\pi\) | |||||||
\(42\) | 0.0354044 | + | 0.341749i | 0.00546301 | + | 0.0527330i | ||||
\(43\) | −2.99613 | − | 7.23329i | −0.456905 | − | 1.10307i | −0.969644 | − | 0.244522i | \(-0.921369\pi\) |
0.512739 | − | 0.858545i | \(-0.328631\pi\) | |||||||
\(44\) | 0.141007 | + | 0.206482i | 0.0212576 | + | 0.0311284i | ||||
\(45\) | −1.38438 | − | 3.34218i | −0.206371 | − | 0.498223i | ||||
\(46\) | 0.469298 | − | 1.57570i | 0.0691943 | − | 0.232324i | ||||
\(47\) | 5.14120 | − | 5.14120i | 0.749921 | − | 0.749921i | −0.224543 | − | 0.974464i | \(-0.572089\pi\) |
0.974464 | + | 0.224543i | \(0.0720889\pi\) | |||||||
\(48\) | −0.117333 | − | 5.80247i | −0.0169355 | − | 0.837514i | ||||
\(49\) | −6.97196 | −0.995995 | ||||||||
\(50\) | 4.57891 | − | 15.3740i | 0.647556 | − | 2.17421i | ||||
\(51\) | 6.37289 | + | 2.63974i | 0.892383 | + | 0.369637i | ||||
\(52\) | −3.01507 | − | 6.55052i | −0.418115 | − | 0.908394i | ||||
\(53\) | 0.952080 | + | 2.29853i | 0.130778 | + | 0.315727i | 0.975682 | − | 0.219192i | \(-0.0703422\pi\) |
−0.844903 | + | 0.534919i | \(0.820342\pi\) | |||||||
\(54\) | −5.03868 | + | 6.20333i | −0.685678 | + | 0.844166i | ||||
\(55\) | 0.357373 | − | 0.357373i | 0.0481882 | − | 0.0481882i | ||||
\(56\) | −0.471971 | − | 0.0392691i | −0.0630698 | − | 0.00524755i | ||||
\(57\) | −4.12519 | −0.546395 | ||||||||
\(58\) | 1.33390 | − | 0.138188i | 0.175149 | − | 0.0181450i | ||||
\(59\) | −11.6115 | − | 4.80965i | −1.51169 | − | 0.626164i | −0.535787 | − | 0.844353i | \(-0.679985\pi\) |
−0.975906 | + | 0.218190i | \(0.929985\pi\) | |||||||
\(60\) | −11.4819 | + | 2.40481i | −1.48231 | + | 0.310459i | ||||
\(61\) | −1.39878 | + | 3.37697i | −0.179096 | + | 0.432376i | −0.987777 | − | 0.155871i | \(-0.950182\pi\) |
0.808681 | + | 0.588247i | \(0.200182\pi\) | |||||||
\(62\) | 3.06872 | + | 0.913973i | 0.389728 | + | 0.116075i | ||||
\(63\) | 0.105951 | + | 0.105951i | 0.0133485 | + | 0.0133485i | ||||
\(64\) | 7.89000 | + | 1.32208i | 0.986250 | + | 0.165260i | ||||
\(65\) | −11.8833 | + | 8.44076i | −1.47394 | + | 1.04695i | ||||
\(66\) | −0.245852 | − | 0.0732233i | −0.0302623 | − | 0.00901317i | ||||
\(67\) | 2.18529 | + | 5.27576i | 0.266976 | + | 0.644537i | 0.999338 | − | 0.0363783i | \(-0.0115821\pi\) |
−0.732362 | + | 0.680915i | \(0.761582\pi\) | |||||||
\(68\) | −5.20242 | + | 7.95898i | −0.630886 | + | 0.965168i | ||||
\(69\) | 0.645497 | + | 1.55837i | 0.0777087 | + | 0.187606i | ||||
\(70\) | 0.0986463 | + | 0.952206i | 0.0117905 | + | 0.113810i | ||||
\(71\) | − | 12.4430i | − | 1.47671i | −0.674410 | − | 0.738357i | \(-0.735602\pi\) | ||
0.674410 | − | 0.738357i | \(-0.264398\pi\) | |||||||
\(72\) | −1.63514 | − | 1.93193i | −0.192703 | − | 0.227680i | ||||
\(73\) | 8.93301 | 1.04553 | 0.522765 | − | 0.852477i | \(-0.324900\pi\) | ||||
0.522765 | + | 0.852477i | \(0.324900\pi\) | |||||||
\(74\) | −15.1379 | + | 1.56825i | −1.75975 | + | 0.182306i | ||||
\(75\) | 6.29807 | + | 15.2049i | 0.727239 | + | 1.75571i | ||||
\(76\) | 1.05291 | − | 5.58800i | 0.120777 | − | 0.640988i | ||||
\(77\) | −0.00801088 | + | 0.0193400i | −0.000912925 | + | 0.00220399i | ||||
\(78\) | 6.63819 | + | 3.26625i | 0.751627 | + | 0.369829i | ||||
\(79\) | 14.3833 | 1.61824 | 0.809122 | − | 0.587641i | \(-0.199943\pi\) | ||||
0.809122 | + | 0.587641i | \(0.199943\pi\) | |||||||
\(80\) | −0.326920 | − | 16.1673i | −0.0365508 | − | 1.80756i | ||||
\(81\) | − | 5.51470i | − | 0.612744i | ||||||
\(82\) | 1.96497 | − | 1.06310i | 0.216995 | − | 0.117400i | ||||
\(83\) | −10.2392 | + | 4.24121i | −1.12390 | + | 0.465533i | −0.865702 | − | 0.500560i | \(-0.833127\pi\) |
−0.258194 | + | 0.966093i | \(0.583127\pi\) | |||||||
\(84\) | 0.401255 | − | 0.274018i | 0.0437806 | − | 0.0298978i | ||||
\(85\) | 17.7566 | + | 7.35503i | 1.92597 | + | 0.797765i | ||||
\(86\) | −6.98080 | + | 8.59435i | −0.752759 | + | 0.926753i | ||||
\(87\) | −0.972863 | + | 0.972863i | −0.104302 | + | 0.104302i | ||||
\(88\) | 0.161940 | − | 0.314342i | 0.0172628 | − | 0.0335090i | ||||
\(89\) | − | 6.33972i | − | 0.672009i | −0.941860 | − | 0.336004i | \(-0.890924\pi\) | ||
0.941860 | − | 0.336004i | \(-0.109076\pi\) | |||||||
\(90\) | −3.22552 | + | 3.97107i | −0.340000 | + | 0.418588i | ||||
\(91\) | 0.320941 | − | 0.511354i | 0.0336437 | − | 0.0536045i | ||||
\(92\) | −2.27573 | + | 0.476636i | −0.237261 | + | 0.0496927i | ||||
\(93\) | −3.03497 | + | 1.25713i | −0.314712 | + | 0.130358i | ||||
\(94\) | −9.85461 | − | 2.93505i | −1.01642 | − | 0.302727i | ||||
\(95\) | −11.4939 | −1.17925 | ||||||||
\(96\) | −7.13838 | + | 4.05072i | −0.728558 | + | 0.413425i | ||||
\(97\) | −7.29863 | − | 7.29863i | −0.741063 | − | 0.741063i | 0.231719 | − | 0.972783i | \(-0.425565\pi\) |
−0.972783 | + | 0.231719i | \(0.925565\pi\) | |||||||
\(98\) | 4.69179 | + | 8.67200i | 0.473943 | + | 0.876004i | ||||
\(99\) | −0.103356 | + | 0.0428116i | −0.0103877 | + | 0.00430273i | ||||
\(100\) | −22.2041 | + | 4.65050i | −2.22041 | + | 0.465050i | ||||
\(101\) | 4.28791 | + | 10.3519i | 0.426663 | + | 1.03006i | 0.980338 | + | 0.197323i | \(0.0632249\pi\) |
−0.553675 | + | 0.832733i | \(0.686775\pi\) | |||||||
\(102\) | −1.00524 | − | 9.70327i | −0.0995331 | − | 0.960766i | ||||
\(103\) | −5.94537 | + | 5.94537i | −0.585815 | + | 0.585815i | −0.936495 | − | 0.350680i | \(-0.885950\pi\) |
0.350680 | + | 0.936495i | \(0.385950\pi\) | |||||||
\(104\) | −6.11880 | + | 8.15845i | −0.599998 | + | 0.800002i | ||||
\(105\) | −0.694481 | − | 0.694481i | −0.0677745 | − | 0.0677745i | ||||
\(106\) | 2.21829 | − | 2.73103i | 0.215460 | − | 0.265261i | ||||
\(107\) | −17.4698 | + | 7.23622i | −1.68887 | + | 0.699552i | −0.999687 | − | 0.0250362i | \(-0.992030\pi\) |
−0.689182 | + | 0.724588i | \(0.742030\pi\) | |||||||
\(108\) | 11.1067 | + | 2.09277i | 1.06875 | + | 0.201377i | ||||
\(109\) | −0.937189 | − | 2.26257i | −0.0897664 | − | 0.216715i | 0.872620 | − | 0.488400i | \(-0.162419\pi\) |
−0.962386 | + | 0.271685i | \(0.912419\pi\) | |||||||
\(110\) | −0.685010 | − | 0.204020i | −0.0653131 | − | 0.0194526i | ||||
\(111\) | 11.0407 | − | 11.0407i | 1.04794 | − | 1.04794i | ||||
\(112\) | 0.268769 | + | 0.613483i | 0.0253963 | + | 0.0579687i | ||||
\(113\) | 0.849823i | 0.0799447i | 0.999201 | + | 0.0399723i | \(0.0127270\pi\) | ||||
−0.999201 | + | 0.0399723i | \(0.987273\pi\) | |||||||
\(114\) | 2.77605 | + | 5.13107i | 0.260001 | + | 0.480569i | ||||
\(115\) | 1.79853 | + | 4.34204i | 0.167714 | + | 0.404897i | ||||
\(116\) | −1.06953 | − | 1.56616i | −0.0993035 | − | 0.145414i | ||||
\(117\) | 3.14516 | − | 0.719555i | 0.290770 | − | 0.0665229i | ||||
\(118\) | 1.83156 | + | 17.6795i | 0.168609 | + | 1.62753i | ||||
\(119\) | −0.796064 | −0.0729751 | ||||||||
\(120\) | 10.7180 | + | 12.6633i | 0.978412 | + | 1.15600i | ||||
\(121\) | 7.76712 | + | 7.76712i | 0.706102 | + | 0.706102i | ||||
\(122\) | 5.14172 | − | 0.532670i | 0.465509 | − | 0.0482256i | ||||
\(123\) | −0.877148 | + | 2.11762i | −0.0790897 | + | 0.190940i | ||||
\(124\) | −0.928263 | − | 4.43206i | −0.0833605 | − | 0.398010i | ||||
\(125\) | 9.81288 | + | 23.6904i | 0.877691 | + | 2.11893i | ||||
\(126\) | 0.0604859 | − | 0.203085i | 0.00538852 | − | 0.0180923i | ||||
\(127\) | −14.1303 | −1.25387 | −0.626933 | − | 0.779073i | \(-0.715690\pi\) | ||||
−0.626933 | + | 0.779073i | \(0.715690\pi\) | |||||||
\(128\) | −3.66513 | − | 10.7036i | −0.323955 | − | 0.946073i | ||||
\(129\) | − | 11.3596i | − | 1.00015i | ||||||
\(130\) | 18.4958 | + | 9.10065i | 1.62219 | + | 0.798180i | ||||
\(131\) | −16.9635 | − | 7.02653i | −1.48211 | − | 0.613911i | −0.512528 | − | 0.858670i | \(-0.671291\pi\) |
−0.969584 | + | 0.244759i | \(0.921291\pi\) | |||||||
\(132\) | 0.0743682 | + | 0.355076i | 0.00647292 | + | 0.0309054i | ||||
\(133\) | 0.439831 | − | 0.182184i | 0.0381382 | − | 0.0157974i | ||||
\(134\) | 5.09161 | − | 6.26849i | 0.439848 | − | 0.541515i | ||||
\(135\) | − | 22.8453i | − | 1.96621i | ||||||
\(136\) | 13.4007 | + | 1.11496i | 1.14910 | + | 0.0956074i | ||||
\(137\) | −11.5094 | −0.983314 | −0.491657 | − | 0.870789i | \(-0.663609\pi\) | ||||
−0.491657 | + | 0.870789i | \(0.663609\pi\) | |||||||
\(138\) | 1.50397 | − | 1.85160i | 0.128027 | − | 0.157619i | ||||
\(139\) | 0.979057 | − | 0.405539i | 0.0830425 | − | 0.0343973i | −0.340776 | − | 0.940145i | \(-0.610690\pi\) |
0.423818 | + | 0.905747i | \(0.360690\pi\) | |||||||
\(140\) | 1.11801 | − | 0.763488i | 0.0944889 | − | 0.0645266i | ||||
\(141\) | 9.74623 | − | 4.03702i | 0.820780 | − | 0.339978i | ||||
\(142\) | −15.4771 | + | 8.37355i | −1.29881 | + | 0.702692i | ||||
\(143\) | 0.261029 | + | 0.367487i | 0.0218283 | + | 0.0307308i | ||||
\(144\) | −1.30264 | + | 3.33395i | −0.108553 | + | 0.277829i | ||||
\(145\) | −2.71066 | + | 2.71066i | −0.225108 | + | 0.225108i | ||||
\(146\) | −6.01148 | − | 11.1112i | −0.497514 | − | 0.919572i | ||||
\(147\) | −9.34570 | − | 3.87112i | −0.770821 | − | 0.319284i | ||||
\(148\) | 12.1378 | + | 17.7738i | 0.997717 | + | 1.46100i | ||||
\(149\) | 0.776656 | − | 1.87501i | 0.0636262 | − | 0.153607i | −0.888869 | − | 0.458162i | \(-0.848508\pi\) |
0.952495 | + | 0.304555i | \(0.0985078\pi\) | |||||||
\(150\) | 14.6741 | − | 18.0659i | 1.19814 | − | 1.47508i | ||||
\(151\) | − | 15.1813i | − | 1.23544i | −0.786400 | − | 0.617718i | \(-0.788057\pi\) | ||
0.786400 | − | 0.617718i | \(-0.211943\pi\) | |||||||
\(152\) | −7.65913 | + | 2.45080i | −0.621238 | + | 0.198786i | ||||
\(153\) | −3.00825 | − | 3.00825i | −0.243203 | − | 0.243203i | ||||
\(154\) | 0.0294468 | − | 0.00305061i | 0.00237289 | − | 0.000245825i | ||||
\(155\) | −8.45626 | + | 3.50270i | −0.679223 | + | 0.281343i | ||||
\(156\) | −0.404495 | − | 10.4549i | −0.0323855 | − | 0.837059i | ||||
\(157\) | −1.17723 | + | 2.84209i | −0.0939532 | + | 0.226823i | −0.963869 | − | 0.266378i | \(-0.914173\pi\) |
0.869916 | + | 0.493201i | \(0.164173\pi\) | |||||||
\(158\) | −9.67924 | − | 17.8905i | −0.770039 | − | 1.42329i | ||||
\(159\) | 3.60974i | 0.286271i | ||||||||
\(160\) | −19.8895 | + | 11.2864i | −1.57240 | + | 0.892270i | ||||
\(161\) | −0.137647 | − | 0.137647i | −0.0108481 | − | 0.0108481i | ||||
\(162\) | −6.85940 | + | 3.71112i | −0.538925 | + | 0.291573i | ||||
\(163\) | 10.2499 | − | 4.24566i | 0.802837 | − | 0.332546i | 0.0567448 | − | 0.998389i | \(-0.481928\pi\) |
0.746092 | + | 0.665843i | \(0.231928\pi\) | |||||||
\(164\) | −2.64466 | − | 1.72869i | −0.206513 | − | 0.134988i | ||||
\(165\) | 0.677476 | − | 0.280620i | 0.0527415 | − | 0.0218462i | ||||
\(166\) | 12.1658 | + | 9.88177i | 0.944253 | + | 0.766974i | ||||
\(167\) | 1.63379 | 0.126426 | 0.0632132 | − | 0.998000i | \(-0.479865\pi\) | ||||
0.0632132 | + | 0.998000i | \(0.479865\pi\) | |||||||
\(168\) | −0.610860 | − | 0.314697i | −0.0471288 | − | 0.0242794i | ||||
\(169\) | −5.65246 | − | 11.7068i | −0.434805 | − | 0.900525i | ||||
\(170\) | −2.80086 | − | 27.0359i | −0.214816 | − | 2.07356i | ||||
\(171\) | 2.35054 | + | 0.973625i | 0.179750 | + | 0.0744549i | ||||
\(172\) | 15.3877 | + | 2.89942i | 1.17330 | + | 0.221079i | ||||
\(173\) | 3.26898 | − | 7.89203i | 0.248536 | − | 0.600020i | −0.749544 | − | 0.661955i | \(-0.769727\pi\) |
0.998080 | + | 0.0619350i | \(0.0197272\pi\) | |||||||
\(174\) | 1.86477 | + | 0.555396i | 0.141368 | + | 0.0421044i | ||||
\(175\) | −1.34301 | − | 1.34301i | −0.101522 | − | 0.101522i | ||||
\(176\) | −0.499969 | + | 0.0101099i | −0.0376866 | + | 0.000762066i | ||||
\(177\) | −12.8944 | − | 12.8944i | −0.969202 | − | 0.969202i | ||||
\(178\) | −7.88559 | + | 4.26632i | −0.591050 | + | 0.319774i | ||||
\(179\) | 2.69384 | + | 1.11583i | 0.201347 | + | 0.0834007i | 0.481078 | − | 0.876678i | \(-0.340245\pi\) |
−0.279731 | + | 0.960078i | \(0.590245\pi\) | |||||||
\(180\) | 7.10999 | + | 1.33969i | 0.529948 | + | 0.0998548i | ||||
\(181\) | 14.1781 | − | 5.87274i | 1.05385 | − | 0.436518i | 0.212583 | − | 0.977143i | \(-0.431812\pi\) |
0.841263 | + | 0.540625i | \(0.181812\pi\) | |||||||
\(182\) | −0.852020 | − | 0.0550821i | −0.0631559 | − | 0.00408296i | ||||
\(183\) | −3.75006 | + | 3.75006i | −0.277212 | + | 0.277212i | ||||
\(184\) | 2.12431 | + | 2.50989i | 0.156606 | + | 0.185032i | ||||
\(185\) | 30.7624 | − | 30.7624i | 2.26170 | − | 2.26170i | ||||
\(186\) | 3.60605 | + | 2.92903i | 0.264408 | + | 0.214767i | ||||
\(187\) | 0.227453 | − | 0.549119i | 0.0166330 | − | 0.0401556i | ||||
\(188\) | 2.98094 | + | 14.2327i | 0.217407 | + | 1.03803i | ||||
\(189\) | 0.362110 | + | 0.874211i | 0.0263396 | + | 0.0635895i | ||||
\(190\) | 7.73484 | + | 14.2966i | 0.561144 | + | 1.03718i | ||||
\(191\) | 12.8849i | 0.932318i | 0.884701 | + | 0.466159i | \(0.154363\pi\) | ||||
−0.884701 | + | 0.466159i | \(0.845637\pi\) | |||||||
\(192\) | 9.84223 | + | 6.15306i | 0.710302 | + | 0.444059i | ||||
\(193\) | −10.8423 | + | 10.8423i | −0.780448 | + | 0.780448i | −0.979906 | − | 0.199458i | \(-0.936082\pi\) |
0.199458 | + | 0.979906i | \(0.436082\pi\) | |||||||
\(194\) | −4.16670 | + | 13.9899i | −0.299152 | + | 1.00442i | ||||
\(195\) | −20.6158 | + | 4.71651i | −1.47633 | + | 0.337757i | ||||
\(196\) | 7.62923 | − | 11.6717i | 0.544945 | − | 0.833691i | ||||
\(197\) | −1.98865 | − | 0.823725i | −0.141685 | − | 0.0586880i | 0.310714 | − | 0.950503i | \(-0.399432\pi\) |
−0.452399 | + | 0.891815i | \(0.649432\pi\) | |||||||
\(198\) | 0.122804 | + | 0.0997485i | 0.00872734 | + | 0.00708882i | ||||
\(199\) | 3.15196 | − | 3.15196i | 0.223437 | − | 0.223437i | −0.586507 | − | 0.809944i | \(-0.699497\pi\) |
0.809944 | + | 0.586507i | \(0.199497\pi\) | |||||||
\(200\) | 20.7268 | + | 24.4888i | 1.46560 | + | 1.73162i | ||||
\(201\) | 8.28536i | 0.584405i | ||||||||
\(202\) | 9.99059 | − | 12.2998i | 0.702935 | − | 0.865413i | ||||
\(203\) | 0.0607622 | − | 0.146693i | 0.00426467 | − | 0.0102958i | ||||
\(204\) | −11.3928 | + | 7.78018i | −0.797658 | + | 0.544721i | ||||
\(205\) | −2.44397 | + | 5.90027i | −0.170694 | + | 0.412093i | ||||
\(206\) | 11.3960 | + | 3.39414i | 0.794000 | + | 0.236481i | ||||
\(207\) | − | 1.04031i | − | 0.0723066i | ||||||
\(208\) | 14.2655 | + | 2.12057i | 0.989131 | + | 0.147035i | ||||
\(209\) | 0.355446i | 0.0245867i | ||||||||
\(210\) | −0.396471 | + | 1.33118i | −0.0273591 | + | 0.0918599i | ||||
\(211\) | −5.28688 | + | 12.7637i | −0.363964 | + | 0.878687i | 0.630748 | + | 0.775987i | \(0.282748\pi\) |
−0.994712 | + | 0.102699i | \(0.967252\pi\) | |||||||
\(212\) | −4.88977 | − | 0.921349i | −0.335831 | − | 0.0632785i | ||||
\(213\) | 6.90887 | − | 16.6795i | 0.473388 | − | 1.14286i | ||||
\(214\) | 20.7570 | + | 16.8600i | 1.41892 | + | 1.15253i | ||||
\(215\) | − | 31.6509i | − | 2.15857i | ||||||
\(216\) | −4.87122 | − | 15.2233i | −0.331444 | − | 1.03582i | ||||
\(217\) | 0.268072 | − | 0.268072i | 0.0181979 | − | 0.0181979i | ||||
\(218\) | −2.18360 | + | 2.68831i | −0.147892 | + | 0.182076i | ||||
\(219\) | 11.9744 | + | 4.95997i | 0.809157 | + | 0.335164i | ||||
\(220\) | 0.207210 | + | 0.989338i | 0.0139701 | + | 0.0667012i | ||||
\(221\) | −9.11245 | + | 14.5189i | −0.612970 | + | 0.976644i | ||||
\(222\) | −21.1627 | − | 6.30300i | −1.42035 | − | 0.423030i | ||||
\(223\) | 11.4720 | − | 11.4720i | 0.768222 | − | 0.768222i | −0.209571 | − | 0.977793i | \(-0.567207\pi\) |
0.977793 | + | 0.209571i | \(0.0672068\pi\) | |||||||
\(224\) | 0.582205 | − | 0.747150i | 0.0389002 | − | 0.0499211i | ||||
\(225\) | − | 10.1502i | − | 0.676682i | ||||||
\(226\) | 1.05704 | − | 0.571890i | 0.0703135 | − | 0.0380415i | ||||
\(227\) | 5.41538 | + | 13.0739i | 0.359431 | + | 0.867744i | 0.995380 | + | 0.0960125i | \(0.0306089\pi\) |
−0.635949 | + | 0.771731i | \(0.719391\pi\) | |||||||
\(228\) | 4.51408 | − | 6.90592i | 0.298952 | − | 0.457356i | ||||
\(229\) | 4.07204 | − | 9.83077i | 0.269088 | − | 0.649635i | −0.730353 | − | 0.683070i | \(-0.760644\pi\) |
0.999441 | + | 0.0334344i | \(0.0106445\pi\) | |||||||
\(230\) | 4.19048 | − | 5.15907i | 0.276312 | − | 0.340179i | ||||
\(231\) | −0.0214767 | + | 0.0214767i | −0.00141306 | + | 0.00141306i | ||||
\(232\) | −1.22831 | + | 2.38427i | −0.0806423 | + | 0.156535i | ||||
\(233\) | −7.99196 | + | 7.99196i | −0.523571 | + | 0.523571i | −0.918648 | − | 0.395077i | \(-0.870718\pi\) |
0.395077 | + | 0.918648i | \(0.370718\pi\) | |||||||
\(234\) | −3.01155 | − | 3.42785i | −0.196871 | − | 0.224086i | ||||
\(235\) | 27.1556 | − | 11.2482i | 1.77144 | − | 0.733754i | ||||
\(236\) | 20.7580 | − | 14.1756i | 1.35123 | − | 0.922756i | ||||
\(237\) | 19.2803 | + | 7.98617i | 1.25239 | + | 0.518758i | ||||
\(238\) | 0.535712 | + | 0.990176i | 0.0347251 | + | 0.0641836i | ||||
\(239\) | −0.518131 | − | 0.518131i | −0.0335151 | − | 0.0335151i | 0.690151 | − | 0.723666i | \(-0.257544\pi\) |
−0.723666 | + | 0.690151i | \(0.757544\pi\) | |||||||
\(240\) | 8.53850 | − | 21.8532i | 0.551158 | − | 1.41062i | ||||
\(241\) | 10.3809 | + | 10.3809i | 0.668691 | + | 0.668691i | 0.957413 | − | 0.288722i | \(-0.0932304\pi\) |
−0.288722 | + | 0.957413i | \(0.593230\pi\) | |||||||
\(242\) | 4.43416 | − | 14.8879i | 0.285038 | − | 0.957034i | ||||
\(243\) | −3.42575 | + | 8.27049i | −0.219762 | + | 0.530552i | ||||
\(244\) | −4.12268 | − | 6.03701i | −0.263928 | − | 0.386480i | ||||
\(245\) | −26.0397 | − | 10.7860i | −1.66361 | − | 0.689092i | ||||
\(246\) | 3.22426 | − | 0.334026i | 0.205571 | − | 0.0212967i | ||||
\(247\) | 1.71197 | − | 10.1072i | 0.108930 | − | 0.643107i | ||||
\(248\) | −4.88809 | + | 4.13717i | −0.310394 | + | 0.262710i | ||||
\(249\) | −16.0802 | −1.01904 | ||||||||
\(250\) | 22.8635 | − | 28.1481i | 1.44601 | − | 1.78024i | ||||
\(251\) | 26.6225 | − | 11.0274i | 1.68040 | − | 0.696044i | 0.681053 | − | 0.732234i | \(-0.261522\pi\) |
0.999345 | + | 0.0361906i | \(0.0115223\pi\) | |||||||
\(252\) | −0.293309 | + | 0.0614316i | −0.0184768 | + | 0.00386983i | ||||
\(253\) | 0.134277 | − | 0.0556192i | 0.00844190 | − | 0.00349675i | ||||
\(254\) | 9.50903 | + | 17.5759i | 0.596650 | + | 1.10281i | ||||
\(255\) | 19.7184 | + | 19.7184i | 1.23481 | + | 1.23481i | ||||
\(256\) | −10.8471 | + | 11.7618i | −0.677943 | + | 0.735114i | ||||
\(257\) | − | 1.49040i | − | 0.0929688i | −0.998919 | − | 0.0464844i | \(-0.985198\pi\) | ||
0.998919 | − | 0.0464844i | \(-0.0148018\pi\) | |||||||
\(258\) | −14.1295 | + | 7.64444i | −0.879664 | + | 0.475922i | ||||
\(259\) | −0.689570 | + | 1.66477i | −0.0428478 | + | 0.103444i | ||||
\(260\) | −1.12703 | − | 29.1301i | −0.0698956 | − | 1.80657i | ||||
\(261\) | 0.783953 | − | 0.324724i | 0.0485255 | − | 0.0200999i | ||||
\(262\) | 2.67577 | + | 25.8284i | 0.165309 | + | 1.59569i | ||||
\(263\) | 20.6831 | + | 20.6831i | 1.27537 | + | 1.27537i | 0.943228 | + | 0.332146i | \(0.107773\pi\) |
0.332146 | + | 0.943228i | \(0.392227\pi\) | |||||||
\(264\) | 0.391611 | − | 0.331451i | 0.0241020 | − | 0.0203994i | ||||
\(265\) | 10.0577i | 0.617840i | ||||||||
\(266\) | −0.522593 | − | 0.424479i | −0.0320422 | − | 0.0260265i | ||||
\(267\) | 3.52007 | − | 8.49820i | 0.215425 | − | 0.520081i | ||||
\(268\) | −11.2234 | − | 2.11476i | −0.685578 | − | 0.129179i | ||||
\(269\) | 6.23575 | + | 2.58293i | 0.380200 | + | 0.157484i | 0.564595 | − | 0.825368i | \(-0.309032\pi\) |
−0.184395 | + | 0.982852i | \(0.559032\pi\) | |||||||
\(270\) | −28.4159 | + | 15.3738i | −1.72934 | + | 0.935620i | ||||
\(271\) | −13.7184 | + | 13.7184i | −0.833333 | + | 0.833333i | −0.987971 | − | 0.154638i | \(-0.950579\pi\) |
0.154638 | + | 0.987971i | \(0.450579\pi\) | |||||||
\(272\) | −7.63116 | − | 17.4186i | −0.462707 | − | 1.05616i | ||||
\(273\) | 0.714136 | − | 0.507255i | 0.0432215 | − | 0.0307005i | ||||
\(274\) | 7.74526 | + | 14.3158i | 0.467908 | + | 0.864852i | ||||
\(275\) | 1.31013 | − | 0.542672i | 0.0790036 | − | 0.0327244i | ||||
\(276\) | −3.31519 | − | 0.624662i | −0.199551 | − | 0.0376002i | ||||
\(277\) | −24.3471 | + | 10.0849i | −1.46287 | + | 0.605942i | −0.965221 | − | 0.261435i | \(-0.915804\pi\) |
−0.497652 | + | 0.867377i | \(0.665804\pi\) | |||||||
\(278\) | −1.16328 | − | 0.944882i | −0.0697690 | − | 0.0566702i | ||||
\(279\) | 2.02604 | 0.121296 | ||||||||
\(280\) | −1.70202 | − | 0.876831i | −0.101715 | − | 0.0524007i | ||||
\(281\) | − | 31.9260i | − | 1.90455i | −0.305245 | − | 0.952274i | \(-0.598738\pi\) | ||
0.305245 | − | 0.952274i | \(-0.401262\pi\) | |||||||
\(282\) | −11.5801 | − | 9.40602i | −0.689587 | − | 0.560121i | ||||
\(283\) | 16.4236 | − | 6.80289i | 0.976283 | − | 0.404390i | 0.163235 | − | 0.986587i | \(-0.447807\pi\) |
0.813047 | + | 0.582198i | \(0.197807\pi\) | |||||||
\(284\) | 20.8307 | + | 13.6161i | 1.23607 | + | 0.807965i | ||||
\(285\) | −15.4072 | − | 6.38188i | −0.912645 | − | 0.378030i | ||||
\(286\) | 0.281436 | − | 0.571979i | 0.0166416 | − | 0.0338218i | ||||
\(287\) | − | 0.264521i | − | 0.0156142i | ||||||
\(288\) | 5.02351 | − | 0.623310i | 0.296013 | − | 0.0367289i | ||||
\(289\) | 5.60262 | 0.329566 | ||||||||
\(290\) | 5.19577 | + | 1.54748i | 0.305106 | + | 0.0908714i | ||||
\(291\) | −5.73109 | − | 13.8361i | −0.335963 | − | 0.811085i | ||||
\(292\) | −9.77516 | + | 14.9546i | −0.572048 | + | 0.875154i | ||||
\(293\) | −2.21139 | + | 5.33878i | −0.129191 | + | 0.311895i | −0.975218 | − | 0.221245i | \(-0.928988\pi\) |
0.846027 | + | 0.533140i | \(0.178988\pi\) | |||||||
\(294\) | 1.47416 | + | 14.2296i | 0.0859745 | + | 0.829889i | ||||
\(295\) | −35.9273 | − | 35.9273i | −2.09177 | − | 2.09177i | ||||
\(296\) | 13.9396 | − | 27.0583i | 0.810225 | − | 1.57273i | ||||
\(297\) | −0.706487 | −0.0409945 | ||||||||
\(298\) | −2.85487 | + | 0.295758i | −0.165378 | + | 0.0171328i | ||||
\(299\) | −4.08608 | + | 0.934818i | −0.236304 | + | 0.0540619i | ||||
\(300\) | −32.3461 | − | 6.09478i | −1.86750 | − | 0.351882i | ||||
\(301\) | 0.501682 | + | 1.21117i | 0.0289165 | + | 0.0698106i | ||||
\(302\) | −18.8831 | + | 10.2163i | −1.08660 | + | 0.587880i | ||||
\(303\) | 16.2573i | 0.933956i | ||||||||
\(304\) | 8.20262 | + | 7.87747i | 0.470453 | + | 0.451804i | ||||
\(305\) | −10.4487 | + | 10.4487i | −0.598290 | + | 0.598290i | ||||
\(306\) | −1.71737 | + | 5.76619i | −0.0981758 | + | 0.329631i | ||||
\(307\) | 9.08120 | + | 21.9239i | 0.518291 | + | 1.25127i | 0.938952 | + | 0.344048i | \(0.111798\pi\) |
−0.420661 | + | 0.907218i | \(0.638202\pi\) | |||||||
\(308\) | −0.0236107 | − | 0.0345741i | −0.00134535 | − | 0.00197004i | ||||
\(309\) | −11.2707 | + | 4.66848i | −0.641168 | + | 0.265581i | ||||
\(310\) | 10.0474 | + | 8.16108i | 0.570656 | + | 0.463518i | ||||
\(311\) | 16.0453 | + | 16.0453i | 0.909848 | + | 0.909848i | 0.996259 | − | 0.0864119i | \(-0.0275401\pi\) |
−0.0864119 | + | 0.996259i | \(0.527540\pi\) | |||||||
\(312\) | −12.7320 | + | 7.53874i | −0.720806 | + | 0.426797i | ||||
\(313\) | 3.40491 | − | 3.40491i | 0.192457 | − | 0.192457i | −0.604300 | − | 0.796757i | \(-0.706547\pi\) |
0.796757 | + | 0.604300i | \(0.206547\pi\) | |||||||
\(314\) | 4.32732 | − | 0.448300i | 0.244205 | − | 0.0252990i | ||||
\(315\) | 0.231805 | + | 0.559628i | 0.0130608 | + | 0.0315314i | ||||
\(316\) | −15.7392 | + | 24.0788i | −0.885400 | + | 1.35454i | ||||
\(317\) | −24.2852 | + | 10.0593i | −1.36399 | + | 0.564984i | −0.940153 | − | 0.340753i | \(-0.889318\pi\) |
−0.423840 | + | 0.905737i | \(0.639318\pi\) | |||||||
\(318\) | 4.48993 | − | 2.42918i | 0.251783 | − | 0.136222i | ||||
\(319\) | 0.0838266 | + | 0.0838266i | 0.00469339 | + | 0.00469339i | ||||
\(320\) | 27.4231 | + | 17.1441i | 1.53300 | + | 0.958385i | ||||
\(321\) | −27.4356 | −1.53130 | ||||||||
\(322\) | −0.0785811 | + | 0.263841i | −0.00437915 | + | 0.0147033i | ||||
\(323\) | −12.4881 | + | 5.17275i | −0.694857 | + | 0.287819i | ||||
\(324\) | 9.23208 | + | 6.03459i | 0.512894 | + | 0.335255i | ||||
\(325\) | −39.8676 | + | 9.12096i | −2.21145 | + | 0.505940i | ||||
\(326\) | −12.1786 | − | 9.89215i | −0.674512 | − | 0.547876i | ||||
\(327\) | − | 3.55328i | − | 0.196497i | ||||||
\(328\) | −0.370487 | + | 4.45285i | −0.0204567 | + | 0.245868i | ||||
\(329\) | −0.860862 | + | 0.860862i | −0.0474608 | + | 0.0474608i | ||||
\(330\) | −0.804955 | − | 0.653828i | −0.0443113 | − | 0.0359921i | ||||
\(331\) | −12.5662 | − | 5.20508i | −0.690700 | − | 0.286097i | 0.00959195 | − | 0.999954i | \(-0.496947\pi\) |
−0.700292 | + | 0.713857i | \(0.746947\pi\) | |||||||
\(332\) | 4.10431 | − | 21.7823i | 0.225253 | − | 1.19546i | ||||
\(333\) | −8.89682 | + | 3.68518i | −0.487543 | + | 0.201947i | ||||
\(334\) | −1.09946 | − | 2.03217i | −0.0601598 | − | 0.111196i | ||||
\(335\) | 23.0853i | 1.26128i | ||||||||
\(336\) | 0.0196466 | + | 0.971587i | 0.00107181 | + | 0.0530044i | ||||
\(337\) | 4.69307 | 0.255648 | 0.127824 | − | 0.991797i | \(-0.459201\pi\) | ||||
0.127824 | + | 0.991797i | \(0.459201\pi\) | |||||||
\(338\) | −10.7576 | + | 14.9089i | −0.585135 | + | 0.810936i | ||||
\(339\) | −0.471856 | + | 1.13916i | −0.0256277 | + | 0.0618708i | ||||
\(340\) | −31.7435 | + | 21.6777i | −1.72153 | + | 1.17564i | ||||
\(341\) | 0.108320 | + | 0.261508i | 0.00586586 | + | 0.0141614i | ||||
\(342\) | −0.370765 | − | 3.57889i | −0.0200487 | − | 0.193524i | ||||
\(343\) | 2.33952 | 0.126322 | ||||||||
\(344\) | −6.74879 | − | 21.0910i | −0.363870 | − | 1.13715i | ||||
\(345\) | 6.81899i | 0.367122i | ||||||||
\(346\) | −12.0163 | + | 1.24486i | −0.645999 | + | 0.0669240i | ||||
\(347\) | 11.0734 | + | 26.7334i | 0.594449 | + | 1.43513i | 0.879167 | + | 0.476515i | \(0.158100\pi\) |
−0.284718 | + | 0.958611i | \(0.591900\pi\) | |||||||
\(348\) | −0.564079 | − | 2.69323i | −0.0302378 | − | 0.144373i | ||||
\(349\) | −5.53227 | − | 13.3561i | −0.296135 | − | 0.714934i | −0.999989 | − | 0.00458953i | \(-0.998539\pi\) |
0.703854 | − | 0.710345i | \(-0.251461\pi\) | |||||||
\(350\) | −0.766710 | + | 2.57427i | −0.0409824 | + | 0.137601i | ||||
\(351\) | 20.0892 | + | 3.40272i | 1.07228 | + | 0.181624i | ||||
\(352\) | 0.349030 | + | 0.615078i | 0.0186034 | + | 0.0327837i | ||||
\(353\) | −15.0043 | − | 15.0043i | −0.798600 | − | 0.798600i | 0.184275 | − | 0.982875i | \(-0.441006\pi\) |
−0.982875 | + | 0.184275i | \(0.941006\pi\) | |||||||
\(354\) | −7.36125 | + | 24.7159i | −0.391246 | + | 1.31363i | ||||
\(355\) | 19.2500 | − | 46.4736i | 1.02168 | − | 2.46656i | ||||
\(356\) | 10.6132 | + | 6.93738i | 0.562501 | + | 0.367681i | ||||
\(357\) | −1.06710 | − | 0.442007i | −0.0564769 | − | 0.0233935i | ||||
\(358\) | −0.424916 | − | 4.10160i | −0.0224575 | − | 0.216776i | ||||
\(359\) | 6.78539 | 0.358119 | 0.179060 | − | 0.983838i | \(-0.442694\pi\) | ||||
0.179060 | + | 0.983838i | \(0.442694\pi\) | |||||||
\(360\) | −3.11832 | − | 9.74524i | −0.164350 | − | 0.513619i | ||||
\(361\) | −7.71907 | + | 7.71907i | −0.406267 | + | 0.406267i | ||||
\(362\) | −16.8459 | − | 13.6832i | −0.885400 | − | 0.719171i | ||||
\(363\) | 6.09897 | + | 14.7242i | 0.320113 | + | 0.772821i | ||||
\(364\) | 0.504855 | + | 1.09684i | 0.0264616 | + | 0.0574902i | ||||
\(365\) | 33.3640 | + | 13.8198i | 1.74635 | + | 0.723363i | ||||
\(366\) | 7.18808 | + | 2.14086i | 0.375727 | + | 0.111905i | ||||
\(367\) | 7.20556 | 0.376127 | 0.188064 | − | 0.982157i | \(-0.439779\pi\) | ||||
0.188064 | + | 0.982157i | \(0.439779\pi\) | |||||||
\(368\) | 1.69234 | − | 4.33134i | 0.0882193 | − | 0.225787i | ||||
\(369\) | 0.999600 | − | 0.999600i | 0.0520371 | − | 0.0520371i | ||||
\(370\) | −58.9651 | − | 17.5619i | −3.06545 | − | 0.912999i | ||||
\(371\) | −0.159420 | − | 0.384874i | −0.00827667 | − | 0.0199816i | ||||
\(372\) | 1.21655 | − | 6.45644i | 0.0630751 | − | 0.334751i | ||||
\(373\) | −12.2576 | − | 29.5926i | −0.634677 | − | 1.53225i | −0.833681 | − | 0.552246i | \(-0.813771\pi\) |
0.199004 | − | 0.979999i | \(-0.436229\pi\) | |||||||
\(374\) | −0.836081 | + | 0.0866160i | −0.0432327 | + | 0.00447880i | ||||
\(375\) | 37.2048i | 1.92125i | ||||||||
\(376\) | 15.6972 | − | 13.2857i | 0.809519 | − | 0.685159i | ||||
\(377\) | −1.97989 | − | 2.78738i | −0.101970 | − | 0.143557i | ||||
\(378\) | 0.843696 | − | 1.03871i | 0.0433950 | − | 0.0534254i | ||||
\(379\) | 5.46338 | − | 13.1898i | 0.280635 | − | 0.677513i | −0.719216 | − | 0.694787i | \(-0.755499\pi\) |
0.999851 | + | 0.0172737i | \(0.00549867\pi\) | |||||||
\(380\) | 12.5775 | − | 19.2418i | 0.645210 | − | 0.987083i | ||||
\(381\) | −18.9413 | − | 7.84574i | −0.970392 | − | 0.401950i | ||||
\(382\) | 16.0267 | − | 8.67090i | 0.819999 | − | 0.443642i | ||||
\(383\) | 2.96879 | − | 2.96879i | 0.151698 | − | 0.151698i | −0.627178 | − | 0.778876i | \(-0.715790\pi\) |
0.778876 | + | 0.627178i | \(0.215790\pi\) | |||||||
\(384\) | 1.03008 | − | 16.3829i | 0.0525659 | − | 0.836035i | ||||
\(385\) | −0.0598399 | + | 0.0598399i | −0.00304972 | + | 0.00304972i | ||||
\(386\) | 20.7825 | + | 6.18976i | 1.05780 | + | 0.315050i | ||||
\(387\) | −2.68108 | + | 6.47270i | −0.136287 | + | 0.329026i | ||||
\(388\) | 20.2052 | − | 4.23184i | 1.02576 | − | 0.214839i | ||||
\(389\) | 14.2653 | + | 34.4396i | 0.723281 | + | 1.74616i | 0.663781 | + | 0.747927i | \(0.268951\pi\) |
0.0595006 | + | 0.998228i | \(0.481049\pi\) | |||||||
\(390\) | 19.7400 | + | 22.4688i | 0.999575 | + | 1.13775i | ||||
\(391\) | 3.90821 | + | 3.90821i | 0.197647 | + | 0.197647i | ||||
\(392\) | −19.6518 | − | 1.63507i | −0.992565 | − | 0.0825836i | ||||
\(393\) | −18.8377 | − | 18.8377i | −0.950236 | − | 0.950236i | ||||
\(394\) | 0.313682 | + | 3.02789i | 0.0158031 | + | 0.152543i | ||||
\(395\) | 53.7203 | + | 22.2517i | 2.70296 | + | 1.11960i | ||||
\(396\) | 0.0414297 | − | 0.219875i | 0.00208192 | − | 0.0110491i | ||||
\(397\) | −2.02722 | + | 0.839703i | −0.101743 | + | 0.0421435i | −0.432975 | − | 0.901406i | \(-0.642536\pi\) |
0.331231 | + | 0.943550i | \(0.392536\pi\) | |||||||
\(398\) | −6.04165 | − | 1.79942i | −0.302840 | − | 0.0901966i | ||||
\(399\) | 0.690737 | 0.0345801 | ||||||||
\(400\) | 16.5120 | − | 42.2606i | 0.825602 | − | 2.11303i | ||||
\(401\) | −1.35223 | − | 1.35223i | −0.0675272 | − | 0.0675272i | 0.672537 | − | 0.740064i | \(-0.265205\pi\) |
−0.740064 | + | 0.672537i | \(0.765205\pi\) | |||||||
\(402\) | 10.3057 | − | 5.57565i | 0.514000 | − | 0.278088i | ||||
\(403\) | −1.82059 | − | 7.95776i | −0.0906900 | − | 0.396404i | ||||
\(404\) | −22.0222 | − | 4.14951i | −1.09564 | − | 0.206446i | ||||
\(405\) | 8.53153 | − | 20.5969i | 0.423935 | − | 1.02347i | ||||
\(406\) | −0.223352 | + | 0.0231388i | −0.0110848 | + | 0.00114836i | ||||
\(407\) | −0.951320 | − | 0.951320i | −0.0471552 | − | 0.0471552i | ||||
\(408\) | 17.3441 | + | 8.93517i | 0.858661 | + | 0.442357i | ||||
\(409\) | 23.2371 | 1.14900 | 0.574501 | − | 0.818504i | \(-0.305196\pi\) | ||||
0.574501 | + | 0.818504i | \(0.305196\pi\) | |||||||
\(410\) | 8.98367 | − | 0.930686i | 0.443672 | − | 0.0459633i | ||||
\(411\) | −15.4280 | − | 6.39049i | −0.761007 | − | 0.315219i | ||||
\(412\) | −3.44721 | − | 16.4589i | −0.169832 | − | 0.810874i | ||||
\(413\) | 1.94428 | + | 0.805346i | 0.0956717 | + | 0.0396285i | ||||
\(414\) | −1.29398 | + | 0.700078i | −0.0635956 | + | 0.0344070i | ||||
\(415\) | −44.8038 | −2.19933 | ||||||||
\(416\) | −6.96231 | − | 19.1710i | −0.341355 | − | 0.939934i | ||||
\(417\) | 1.53757 | 0.0752950 | ||||||||
\(418\) | 0.442118 | − | 0.239198i | 0.0216247 | − | 0.0116996i | ||||
\(419\) | 5.64401 | + | 2.33783i | 0.275728 | + | 0.114210i | 0.516263 | − | 0.856430i | \(-0.327323\pi\) |
−0.240535 | + | 0.970641i | \(0.577323\pi\) | |||||||
\(420\) | 1.92257 | − | 0.402670i | 0.0938120 | − | 0.0196483i | ||||
\(421\) | 15.9719 | + | 6.61577i | 0.778422 | + | 0.322433i | 0.736279 | − | 0.676679i | \(-0.236581\pi\) |
0.0421436 | + | 0.999112i | \(0.486581\pi\) | |||||||
\(422\) | 19.4338 | − | 2.01329i | 0.946021 | − | 0.0980055i | ||||
\(423\) | −6.50623 | −0.316344 | ||||||||
\(424\) | 2.14456 | + | 6.70211i | 0.104149 | + | 0.325483i | ||||
\(425\) | 38.1321 | + | 38.1321i | 1.84968 | + | 1.84968i | ||||
\(426\) | −25.3959 | + | 2.63096i | −1.23044 | + | 0.127470i | ||||
\(427\) | 0.234218 | − | 0.565452i | 0.0113346 | − | 0.0273641i | ||||
\(428\) | 7.00265 | − | 37.1644i | 0.338486 | − | 1.79641i | ||||
\(429\) | 0.145857 | + | 0.637539i | 0.00704205 | + | 0.0307807i | ||||
\(430\) | −39.3686 | + | 21.2995i | −1.89852 | + | 1.02715i | ||||
\(431\) | −4.74711 | − | 4.74711i | −0.228660 | − | 0.228660i | 0.583472 | − | 0.812133i | \(-0.301694\pi\) |
−0.812133 | + | 0.583472i | \(0.801694\pi\) | |||||||
\(432\) | −15.6573 | + | 16.3036i | −0.753312 | + | 0.784406i | ||||
\(433\) | 35.3538 | 1.69899 | 0.849497 | − | 0.527593i | \(-0.176906\pi\) | ||||
0.849497 | + | 0.527593i | \(0.176906\pi\) | |||||||
\(434\) | −0.513838 | − | 0.153039i | −0.0246650 | − | 0.00734611i | ||||
\(435\) | −5.13863 | + | 2.12849i | −0.246378 | + | 0.102053i | ||||
\(436\) | 4.81329 | + | 0.906938i | 0.230515 | + | 0.0434345i | ||||
\(437\) | −3.05373 | − | 1.26490i | −0.146080 | − | 0.0605082i | ||||
\(438\) | −1.88880 | − | 18.2321i | −0.0902504 | − | 0.871163i | ||||
\(439\) | 21.1592 | + | 21.1592i | 1.00988 | + | 1.00988i | 0.999951 | + | 0.00992460i | \(0.00315915\pi\) |
0.00992460 | + | 0.999951i | \(0.496841\pi\) | |||||||
\(440\) | 1.09114 | − | 0.923512i | 0.0520178 | − | 0.0440267i | ||||
\(441\) | 4.41154 | + | 4.41154i | 0.210073 | + | 0.210073i | ||||
\(442\) | 24.1914 | + | 1.56394i | 1.15067 | + | 0.0743893i | ||||
\(443\) | 7.27080 | + | 17.5533i | 0.345446 | + | 0.833980i | 0.997146 | + | 0.0755033i | \(0.0240563\pi\) |
−0.651700 | + | 0.758477i | \(0.725944\pi\) | |||||||
\(444\) | 6.40155 | + | 30.5646i | 0.303804 | + | 1.45053i | ||||
\(445\) | 9.80788 | − | 23.6783i | 0.464938 | − | 1.12246i | ||||
\(446\) | −21.9894 | − | 6.54923i | −1.04123 | − | 0.310115i | ||||
\(447\) | 2.08217 | − | 2.08217i | 0.0984832 | − | 0.0984832i | ||||
\(448\) | −1.32113 | − | 0.221374i | −0.0624176 | − | 0.0104590i | ||||
\(449\) | −10.5786 | + | 10.5786i | −0.499236 | + | 0.499236i | −0.911200 | − | 0.411964i | \(-0.864843\pi\) |
0.411964 | + | 0.911200i | \(0.364843\pi\) | |||||||
\(450\) | −12.6253 | + | 6.83061i | −0.595160 | + | 0.321998i | ||||
\(451\) | 0.182465 | + | 0.0755793i | 0.00859192 | + | 0.00355889i | ||||
\(452\) | −1.42268 | − | 0.929939i | −0.0669171 | − | 0.0437406i | ||||
\(453\) | 8.42927 | − | 20.3501i | 0.396042 | − | 0.956129i | ||||
\(454\) | 12.6175 | − | 15.5339i | 0.592169 | − | 0.729044i | ||||
\(455\) | 1.98978 | − | 1.41335i | 0.0932822 | − | 0.0662590i | ||||
\(456\) | −11.6276 | − | 0.967443i | −0.544513 | − | 0.0453047i | ||||
\(457\) | − | 8.47358i | − | 0.396377i | −0.980164 | − | 0.198189i | \(-0.936494\pi\) | ||
0.980164 | − | 0.198189i | \(-0.0635059\pi\) | |||||||
\(458\) | −14.9682 | + | 1.55067i | −0.699417 | + | 0.0724579i | ||||
\(459\) | −10.2814 | − | 24.8214i | −0.479894 | − | 1.15857i | ||||
\(460\) | −9.23704 | − | 1.74048i | −0.430679 | − | 0.0811502i | ||||
\(461\) | 8.14766 | + | 19.6702i | 0.379474 | + | 0.916132i | 0.992064 | + | 0.125731i | \(0.0401277\pi\) |
−0.612590 | + | 0.790401i | \(0.709872\pi\) | |||||||
\(462\) | 0.0411663 | + | 0.0122608i | 0.00191523 | + | 0.000570423i | ||||
\(463\) | 18.4109 | − | 18.4109i | 0.855627 | − | 0.855627i | −0.135193 | − | 0.990819i | \(-0.543165\pi\) |
0.990819 | + | 0.135193i | \(0.0431653\pi\) | |||||||
\(464\) | 3.79224 | − | 0.0766835i | 0.176050 | − | 0.00355994i | ||||
\(465\) | −13.2802 | −0.615854 | ||||||||
\(466\) | 15.3189 | + | 4.56251i | 0.709635 | + | 0.211354i | ||||
\(467\) | −33.8363 | − | 14.0155i | −1.56576 | − | 0.648559i | −0.579681 | − | 0.814844i | \(-0.696823\pi\) |
−0.986078 | + | 0.166285i | \(0.946823\pi\) | |||||||
\(468\) | −2.23707 | + | 6.05267i | −0.103409 | + | 0.279785i | ||||
\(469\) | −0.365913 | − | 0.883393i | −0.0168963 | − | 0.0407913i | ||||
\(470\) | −32.2654 | − | 26.2078i | −1.48829 | − | 1.20887i | ||||
\(471\) | −3.15608 | + | 3.15608i | −0.145425 | + | 0.145425i | ||||
\(472\) | −31.6013 | − | 16.2801i | −1.45457 | − | 0.749351i | ||||
\(473\) | −0.978796 | −0.0450051 | ||||||||
\(474\) | −3.04120 | − | 29.3559i | −0.139687 | − | 1.34836i | ||||
\(475\) | −29.7950 | − | 12.3415i | −1.36709 | − | 0.566267i | ||||
\(476\) | 0.871112 | − | 1.33268i | 0.0399273 | − | 0.0610833i | ||||
\(477\) | 0.851968 | − | 2.05683i | 0.0390089 | − | 0.0941759i | ||||
\(478\) | −0.295795 | + | 0.993149i | −0.0135293 | + | 0.0454256i | ||||
\(479\) | 8.74720 | + | 8.74720i | 0.399670 | + | 0.399670i | 0.878117 | − | 0.478447i | \(-0.158800\pi\) |
−0.478447 | + | 0.878117i | \(0.658800\pi\) | |||||||
\(480\) | −32.9279 | + | 4.08565i | −1.50295 | + | 0.186484i | ||||
\(481\) | 22.4691 | + | 31.6330i | 1.02450 | + | 1.44234i | ||||
\(482\) | 5.92631 | − | 19.8980i | 0.269936 | − | 0.906327i | ||||
\(483\) | −0.108084 | − | 0.260939i | −0.00491801 | − | 0.0118731i | ||||
\(484\) | −21.5022 | + | 4.50348i | −0.977372 | + | 0.204704i | ||||
\(485\) | −15.9684 | − | 38.5511i | −0.725087 | − | 1.75052i | ||||
\(486\) | 12.5925 | − | 1.30456i | 0.571209 | − | 0.0591759i | ||||
\(487\) | 25.0041i | 1.13304i | 0.824047 | + | 0.566522i | \(0.191711\pi\) | ||||
−0.824047 | + | 0.566522i | \(0.808289\pi\) | |||||||
\(488\) | −4.73471 | + | 9.19057i | −0.214330 | + | 0.416037i | ||||
\(489\) | 16.0971 | 0.727936 | ||||||||
\(490\) | 4.10740 | + | 39.6476i | 0.185553 | + | 1.79110i | ||||
\(491\) | 8.43661 | + | 20.3678i | 0.380739 | + | 0.919184i | 0.991823 | + | 0.127619i | \(0.0407335\pi\) |
−0.611085 | + | 0.791565i | \(0.709266\pi\) | |||||||
\(492\) | −2.58524 | − | 3.78568i | −0.116552 | − | 0.170672i | ||||
\(493\) | −1.72522 | + | 4.16505i | −0.0776999 | + | 0.187584i | ||||
\(494\) | −13.7238 | + | 4.67225i | −0.617464 | + | 0.210214i | ||||
\(495\) | −0.452259 | −0.0203275 | ||||||||
\(496\) | 8.43542 | + | 3.29588i | 0.378761 | + | 0.147990i | ||||
\(497\) | 2.08351i | 0.0934580i | ||||||||
\(498\) | 10.8212 | + | 20.0012i | 0.484909 | + | 0.896274i | ||||
\(499\) | −7.73492 | + | 3.20391i | −0.346263 | + | 0.143427i | −0.549035 | − | 0.835799i | \(-0.685005\pi\) |
0.202773 | + | 0.979226i | \(0.435005\pi\) | |||||||
\(500\) | −50.3978 | − | 9.49614i | −2.25386 | − | 0.424680i | ||||
\(501\) | 2.19005 | + | 0.907147i | 0.0978440 | + | 0.0405283i | ||||
\(502\) | −31.6320 | − | 25.6932i | −1.41180 | − | 1.14674i | ||||
\(503\) | 4.00991 | − | 4.00991i | 0.178793 | − | 0.178793i | −0.612036 | − | 0.790830i | \(-0.709649\pi\) |
0.790830 | + | 0.612036i | \(0.209649\pi\) | |||||||
\(504\) | 0.273794 | + | 0.323489i | 0.0121958 | + | 0.0144094i | ||||
\(505\) | 45.2972i | 2.01570i | ||||||||
\(506\) | −0.159543 | − | 0.129590i | −0.00709255 | − | 0.00576096i | ||||
\(507\) | −1.07685 | − | 18.8311i | −0.0478245 | − | 0.836319i | ||||
\(508\) | 15.4625 | − | 23.6554i | 0.686035 | − | 1.04954i | ||||
\(509\) | 24.6008 | − | 10.1900i | 1.09041 | − | 0.451664i | 0.236262 | − | 0.971689i | \(-0.424078\pi\) |
0.854151 | + | 0.520026i | \(0.174078\pi\) | |||||||
\(510\) | 11.2570 | − | 37.7960i | 0.498468 | − | 1.67364i | ||||
\(511\) | −1.49578 | −0.0661693 | ||||||||
\(512\) | 21.9294 | + | 5.57691i | 0.969151 | + | 0.246467i | ||||
\(513\) | 11.3611 | + | 11.3611i | 0.501604 | + | 0.501604i | ||||
\(514\) | −1.85382 | + | 1.00297i | −0.0817686 | + | 0.0442391i | ||||
\(515\) | −31.4033 | + | 13.0077i | −1.38379 | + | 0.573186i | ||||
\(516\) | 19.0169 | + | 12.4305i | 0.837173 | + | 0.547221i | ||||
\(517\) | −0.347849 | − | 0.839782i | −0.0152984 | − | 0.0369336i | ||||
\(518\) | 2.53475 | − | 0.262594i | 0.111371 | − | 0.0115377i | ||||
\(519\) | 8.76395 | − | 8.76395i | 0.384695 | − | 0.384695i | ||||
\(520\) | −35.4747 | + | 21.0050i | −1.55567 | + | 0.921130i | ||||
\(521\) | 23.9151 | + | 23.9151i | 1.04774 | + | 1.04774i | 0.998802 | + | 0.0489379i | \(0.0155836\pi\) |
0.0489379 | + | 0.998802i | \(0.484416\pi\) | |||||||
\(522\) | −0.931467 | − | 0.756588i | −0.0407692 | − | 0.0331150i | ||||
\(523\) | −15.2407 | + | 6.31292i | −0.666431 | + | 0.276045i | −0.690142 | − | 0.723674i | \(-0.742452\pi\) |
0.0237112 | + | 0.999719i | \(0.492452\pi\) | |||||||
\(524\) | 30.3258 | − | 20.7095i | 1.32479 | − | 0.904699i | ||||
\(525\) | −1.05457 | − | 2.54596i | −0.0460253 | − | 0.111115i | ||||
\(526\) | 11.8077 | − | 39.6451i | 0.514841 | − | 1.72861i | ||||
\(527\) | −7.61136 | + | 7.61136i | −0.331556 | + | 0.331556i | ||||
\(528\) | −0.675807 | − | 0.264051i | −0.0294107 | − | 0.0114913i | ||||
\(529\) | − | 21.6485i | − | 0.941238i | ||||||
\(530\) | 12.5102 | − | 6.76835i | 0.543408 | − | 0.293998i | ||||
\(531\) | 4.30391 | + | 10.3906i | 0.186774 | + | 0.450912i | ||||
\(532\) | −0.176304 | + | 0.935675i | −0.00764373 | + | 0.0405667i | ||||
\(533\) | −4.82441 | − | 3.02794i | −0.208969 | − | 0.131155i | ||||
\(534\) | −12.9392 | + | 1.34047i | −0.559935 | + | 0.0580080i | ||||
\(535\) | −76.4430 | −3.30492 | ||||||||
\(536\) | 4.92238 | + | 15.3832i | 0.212614 | + | 0.664454i | ||||
\(537\) | 2.99146 | + | 2.99146i | 0.129091 | + | 0.129091i | ||||
\(538\) | −0.983603 | − | 9.49446i | −0.0424061 | − | 0.409335i | ||||
\(539\) | −0.333554 | + | 0.805271i | −0.0143672 | + | 0.0346855i | ||||
\(540\) | 38.2451 | + | 24.9990i | 1.64581 | + | 1.07579i | ||||
\(541\) | 6.33914 | + | 15.3040i | 0.272541 | + | 0.657972i | 0.999591 | − | 0.0286128i | \(-0.00910898\pi\) |
−0.727050 | + | 0.686585i | \(0.759109\pi\) | |||||||
\(542\) | 26.2953 | + | 7.83167i | 1.12948 | + | 0.336399i | ||||
\(543\) | 22.2660 | 0.955527 | ||||||||
\(544\) | −16.5305 | + | 21.2138i | −0.708741 | + | 0.909534i | ||||
\(545\) | − | 9.90040i | − | 0.424087i | ||||||
\(546\) | −1.11152 | − | 0.546912i | −0.0475688 | − | 0.0234057i | ||||
\(547\) | 14.7496 | + | 6.10949i | 0.630648 | + | 0.261223i | 0.675028 | − | 0.737792i | \(-0.264131\pi\) |
−0.0443805 | + | 0.999015i | \(0.514131\pi\) | |||||||
\(548\) | 12.5944 | − | 19.2677i | 0.538007 | − | 0.823077i | ||||
\(549\) | 3.02187 | − | 1.25170i | 0.128970 | − | 0.0534213i | ||||
\(550\) | −1.55665 | − | 1.26440i | −0.0663757 | − | 0.0539140i | ||||
\(551\) | − | 2.69605i | − | 0.114855i | ||||||
\(552\) | 1.45399 | + | 4.54394i | 0.0618857 | + | 0.193403i | ||||
\(553\) | −2.40839 | −0.102415 | ||||||||
\(554\) | 28.9284 | + | 23.4972i | 1.22905 | + | 0.998300i | ||||
\(555\) | 58.3166 | − | 24.1555i | 2.47540 | − | 1.02534i | ||||
\(556\) | −0.392449 | + | 2.08280i | −0.0166435 | + | 0.0883302i | ||||
\(557\) | −35.1809 | + | 14.5724i | −1.49066 | + | 0.617453i | −0.971461 | − | 0.237198i | \(-0.923771\pi\) |
−0.519202 | + | 0.854651i | \(0.673771\pi\) | |||||||
\(558\) | −1.36342 | − | 2.52006i | −0.0577184 | − | 0.106683i | ||||
\(559\) | 27.8324 | + | 4.71427i | 1.17718 | + | 0.199392i | ||||
\(560\) | 0.0547408 | + | 2.70711i | 0.00231322 | + | 0.114396i | ||||
\(561\) | 0.609787 | − | 0.609787i | 0.0257452 | − | 0.0257452i | ||||
\(562\) | −39.7109 | + | 21.4847i | −1.67510 | + | 0.906276i | ||||
\(563\) | 19.8298 | + | 8.21375i | 0.835725 | + | 0.346168i | 0.759166 | − | 0.650897i | \(-0.225607\pi\) |
0.0765582 | + | 0.997065i | \(0.475607\pi\) | |||||||
\(564\) | −3.90671 | + | 20.7336i | −0.164502 | + | 0.873043i | ||||
\(565\) | −1.31472 | + | 3.17402i | −0.0553107 | + | 0.133532i | ||||
\(566\) | −19.5140 | − | 15.8503i | −0.820234 | − | 0.666239i | ||||
\(567\) | 0.923401i | 0.0387792i | ||||||||
\(568\) | 2.91815 | − | 35.0730i | 0.122443 | − | 1.47163i | ||||
\(569\) | −19.2787 | − | 19.2787i | −0.808204 | − | 0.808204i | 0.176158 | − | 0.984362i | \(-0.443633\pi\) |
−0.984362 | + | 0.176158i | \(0.943633\pi\) | |||||||
\(570\) | 2.43028 | + | 23.4588i | 0.101793 | + | 0.982582i | ||||
\(571\) | 9.20125 | − | 3.81128i | 0.385060 | − | 0.159497i | −0.181752 | − | 0.983344i | \(-0.558177\pi\) |
0.566812 | + | 0.823847i | \(0.308177\pi\) | |||||||
\(572\) | −0.900842 | + | 0.0348532i | −0.0376661 | + | 0.00145729i | ||||
\(573\) | −7.15422 | + | 17.2718i | −0.298872 | + | 0.721540i | ||||
\(574\) | −0.329022 | + | 0.178010i | −0.0137331 | + | 0.00742998i | ||||
\(575\) | 13.1868i | 0.549928i | ||||||||
\(576\) | −4.15587 | − | 5.82898i | −0.173161 | − | 0.242874i | ||||
\(577\) | −13.8986 | − | 13.8986i | −0.578607 | − | 0.578607i | 0.355912 | − | 0.934519i | \(-0.384170\pi\) |
−0.934519 | + | 0.355912i | \(0.884170\pi\) | |||||||
\(578\) | −3.77029 | − | 6.96876i | −0.156823 | − | 0.289862i | ||||
\(579\) | −20.5539 | + | 8.51372i | −0.854192 | + | 0.353818i | ||||
\(580\) | −1.57168 | − | 7.50409i | −0.0652604 | − | 0.311590i | ||||
\(581\) | 1.71449 | − | 0.710163i | 0.0711288 | − | 0.0294625i | ||||
\(582\) | −13.3531 | + | 16.4396i | −0.553505 | + | 0.681442i | ||||
\(583\) | 0.311033 | 0.0128817 | ||||||||
\(584\) | 25.1794 | + | 2.09498i | 1.04193 | + | 0.0866909i | ||||
\(585\) | 12.8601 | + | 2.17826i | 0.531700 | + | 0.0900598i | ||||
\(586\) | 8.12874 | − | 0.842118i | 0.335795 | − | 0.0347876i | ||||
\(587\) | −14.4697 | − | 5.99353i | −0.597226 | − | 0.247379i | 0.0635297 | − | 0.997980i | \(-0.479764\pi\) |
−0.660756 | + | 0.750601i | \(0.729764\pi\) | |||||||
\(588\) | 16.7073 | − | 11.4095i | 0.688999 | − | 0.470518i | ||||
\(589\) | 2.46343 | − | 5.94724i | 0.101504 | − | 0.245052i | ||||
\(590\) | −20.5105 | + | 68.8651i | −0.844403 | + | 2.83513i | ||||
\(591\) | −2.20836 | − | 2.20836i | −0.0908396 | − | 0.0908396i | ||||
\(592\) | −43.0369 | + | 0.870255i | −1.76881 | + | 0.0357673i | ||||
\(593\) | −33.8721 | − | 33.8721i | −1.39096 | − | 1.39096i | −0.823178 | − | 0.567783i | \(-0.807801\pi\) |
−0.567783 | − | 0.823178i | \(-0.692199\pi\) | |||||||
\(594\) | 0.475431 | + | 0.878756i | 0.0195072 | + | 0.0360558i | ||||
\(595\) | −2.97323 | − | 1.23155i | −0.121891 | − | 0.0504887i | ||||
\(596\) | 2.28906 | + | 3.35197i | 0.0937637 | + | 0.137302i | ||||
\(597\) | 5.97520 | − | 2.47501i | 0.244549 | − | 0.101295i | ||||
\(598\) | 3.91250 | + | 4.45334i | 0.159994 | + | 0.182110i | ||||
\(599\) | 24.6953 | − | 24.6953i | 1.00902 | − | 1.00902i | 0.00906172 | − | 0.999959i | \(-0.497116\pi\) |
0.999959 | − | 0.00906172i | \(-0.00288448\pi\) | |||||||
\(600\) | 14.1864 | + | 44.3349i | 0.579159 | + | 1.80996i | ||||
\(601\) | −20.4462 | + | 20.4462i | −0.834017 | + | 0.834017i | −0.988064 | − | 0.154047i | \(-0.950769\pi\) |
0.154047 | + | 0.988064i | \(0.450769\pi\) | |||||||
\(602\) | 1.16889 | − | 1.43907i | 0.0476405 | − | 0.0586521i | ||||
\(603\) | 1.95551 | − | 4.72101i | 0.0796344 | − | 0.192254i | ||||
\(604\) | 25.4148 | + | 16.6125i | 1.03411 | + | 0.675952i | ||||
\(605\) | 16.9934 | + | 41.0257i | 0.690880 | + | 1.66793i | ||||
\(606\) | 20.2214 | − | 10.9404i | 0.821440 | − | 0.444422i | ||||
\(607\) | − | 27.1619i | − | 1.10247i | −0.834351 | − | 0.551234i | \(-0.814157\pi\) | ||
0.834351 | − | 0.551234i | \(-0.185843\pi\) | |||||||
\(608\) | 4.27834 | − | 15.5039i | 0.173509 | − | 0.628766i | ||||
\(609\) | 0.162900 | − | 0.162900i | 0.00660103 | − | 0.00660103i | ||||
\(610\) | 20.0279 | + | 5.96503i | 0.810908 | + | 0.241517i | ||||
\(611\) | 5.84647 | + | 25.5548i | 0.236523 | + | 1.03384i | ||||
\(612\) | 8.32792 | − | 1.74423i | 0.336636 | − | 0.0705061i | ||||
\(613\) | 21.2696 | + | 8.81016i | 0.859071 | + | 0.355839i | 0.768344 | − | 0.640037i | \(-0.221081\pi\) |
0.0907270 | + | 0.995876i | \(0.471081\pi\) | |||||||
\(614\) | 21.1587 | − | 26.0493i | 0.853894 | − | 1.05126i | ||||
\(615\) | −6.55214 | + | 6.55214i | −0.264208 | + | 0.264208i | ||||
\(616\) | −0.0271158 | + | 0.0526346i | −0.00109253 | + | 0.00212071i | ||||
\(617\) | − | 21.2107i | − | 0.853909i | −0.904273 | − | 0.426954i | \(-0.859586\pi\) | ||
0.904273 | − | 0.426954i | \(-0.140414\pi\) | |||||||
\(618\) | 13.3915 | + | 10.8773i | 0.538684 | + | 0.437549i | ||||
\(619\) | 14.1035 | − | 34.0488i | 0.566866 | − | 1.36854i | −0.337317 | − | 0.941391i | \(-0.609519\pi\) |
0.904183 | − | 0.427145i | \(-0.140481\pi\) | |||||||
\(620\) | 3.38964 | − | 17.9894i | 0.136131 | − | 0.722472i | ||||
\(621\) | 2.51411 | − | 6.06961i | 0.100888 | − | 0.243565i | ||||
\(622\) | 9.16009 | − | 30.7556i | 0.367286 | − | 1.23319i | ||||
\(623\) | 1.06155i | 0.0425299i | ||||||||
\(624\) | 17.9450 | + | 10.7633i | 0.718374 | + | 0.430878i | ||||
\(625\) | 46.9479i | 1.87791i | ||||||||
\(626\) | −6.52650 | − | 1.94382i | −0.260851 | − | 0.0776907i | ||||
\(627\) | −0.197358 | + | 0.476465i | −0.00788173 | + | 0.0190282i | ||||
\(628\) | −3.46969 | − | 5.08080i | −0.138456 | − | 0.202746i | ||||
\(629\) | 19.5789 | − | 47.2677i | 0.780663 | − | 1.88469i | ||||
\(630\) | 0.540093 | − | 0.664931i | 0.0215178 | − | 0.0264915i | ||||
\(631\) | 17.1976i | 0.684626i | 0.939586 | + | 0.342313i | \(0.111210\pi\) | ||||
−0.939586 | + | 0.342313i | \(0.888790\pi\) | |||||||
\(632\) | 40.5419 | + | 3.37318i | 1.61267 | + | 0.134178i | ||||
\(633\) | −14.1738 | + | 14.1738i | −0.563358 | + | 0.563358i | ||||
\(634\) | 28.8549 | + | 23.4375i | 1.14597 | + | 0.930822i | ||||
\(635\) | −52.7756 | − | 21.8604i | −2.09434 | − | 0.867503i | ||||
\(636\) | −6.04301 | − | 3.95004i | −0.239621 | − | 0.156629i | ||||
\(637\) | 13.3632 | − | 21.2916i | 0.529470 | − | 0.843604i | ||||
\(638\) | 0.0478556 | − | 0.160678i | 0.00189462 | − | 0.00636131i | ||||
\(639\) | −7.87337 | + | 7.87337i | −0.311466 | + | 0.311466i | ||||
\(640\) | 2.87008 | − | 45.6471i | 0.113450 | − | 1.80436i | ||||
\(641\) | − | 30.1213i | − | 1.18972i | −0.803830 | − | 0.594859i | \(-0.797208\pi\) | ||
0.803830 | − | 0.594859i | \(-0.202792\pi\) | |||||||
\(642\) | 18.4628 | + | 34.1254i | 0.728669 | + | 1.34682i | ||||
\(643\) | 11.6851 | + | 28.2104i | 0.460817 | + | 1.11251i | 0.968062 | + | 0.250709i | \(0.0806638\pi\) |
−0.507245 | + | 0.861802i | \(0.669336\pi\) | |||||||
\(644\) | 0.381057 | − | 0.0798097i | 0.0150157 | − | 0.00314494i | ||||
\(645\) | 17.5739 | − | 42.4270i | 0.691970 | − | 1.67056i | ||||
\(646\) | 14.8380 | + | 12.0522i | 0.583792 | + | 0.474188i | ||||
\(647\) | 13.9589 | − | 13.9589i | 0.548781 | − | 0.548781i | −0.377307 | − | 0.926088i | \(-0.623150\pi\) |
0.926088 | + | 0.377307i | \(0.123150\pi\) | |||||||
\(648\) | 1.29331 | − | 15.5442i | 0.0508061 | − | 0.610634i | ||||
\(649\) | −1.11104 | + | 1.11104i | −0.0436123 | + | 0.0436123i | ||||
\(650\) | 38.1739 | + | 43.4509i | 1.49730 | + | 1.70428i | ||||
\(651\) | 0.508187 | − | 0.210498i | 0.0199174 | − | 0.00825006i | ||||
\(652\) | −4.10862 | + | 21.8052i | −0.160906 | + | 0.853957i | ||||
\(653\) | −3.10496 | − | 1.28612i | −0.121507 | − | 0.0503297i | 0.321102 | − | 0.947045i | \(-0.395947\pi\) |
−0.442608 | + | 0.896715i | \(0.645947\pi\) | |||||||
\(654\) | −4.41971 | + | 2.39118i | −0.172824 | + | 0.0935026i | ||||
\(655\) | −52.4870 | − | 52.4870i | −2.05084 | − | 2.05084i | ||||
\(656\) | 5.78795 | − | 2.53573i | 0.225982 | − | 0.0990035i | ||||
\(657\) | −5.65240 | − | 5.65240i | −0.220521 | − | 0.220521i | ||||
\(658\) | 1.65009 | + | 0.491456i | 0.0643273 | + | 0.0191589i | ||||
\(659\) | −8.54734 | + | 20.6351i | −0.332957 | + | 0.803830i | 0.665398 | + | 0.746489i | \(0.268262\pi\) |
−0.998355 | + | 0.0573404i | \(0.981738\pi\) | |||||||
\(660\) | −0.271562 | + | 1.44123i | −0.0105705 | + | 0.0560998i | ||||
\(661\) | 4.42699 | + | 1.83372i | 0.172190 | + | 0.0713234i | 0.467113 | − | 0.884198i | \(-0.345294\pi\) |
−0.294923 | + | 0.955521i | \(0.595294\pi\) | |||||||
\(662\) | 1.98214 | + | 19.1331i | 0.0770381 | + | 0.743628i | ||||
\(663\) | −20.2764 | + | 14.4025i | −0.787471 | + | 0.559346i | ||||
\(664\) | −29.8557 | + | 9.55333i | −1.15863 | + | 0.370741i | ||||
\(665\) | 1.92458 | 0.0746321 | ||||||||
\(666\) | 10.5709 | + | 8.58627i | 0.409614 | + | 0.332711i | ||||
\(667\) | −1.01848 | + | 0.421869i | −0.0394358 | + | 0.0163348i | ||||
\(668\) | −1.78781 | + | 2.73511i | −0.0691725 | + | 0.105824i | ||||
\(669\) | 21.7476 | − | 9.00815i | 0.840811 | − | 0.348275i | ||||
\(670\) | 28.7144 | − | 15.5353i | 1.10933 | − | 0.600180i | ||||
\(671\) | 0.323123 | + | 0.323123i | 0.0124740 | + | 0.0124740i | ||||
\(672\) | 1.19528 | − | 0.678268i | 0.0461088 | − | 0.0261647i | ||||
\(673\) | − | 13.4817i | − | 0.519680i | −0.965652 | − | 0.259840i | \(-0.916330\pi\) | ||
0.965652 | − | 0.259840i | \(-0.0836699\pi\) | |||||||
\(674\) | −3.15821 | − | 5.83743i | −0.121650 | − | 0.224849i | ||||
\(675\) | 24.5300 | − | 59.2207i | 0.944161 | − | 2.27941i | ||||
\(676\) | 25.7836 | + | 3.34775i | 0.991676 | + | 0.128760i | ||||
\(677\) | −3.00640 | + | 1.24529i | −0.115545 | + | 0.0478605i | −0.439707 | − | 0.898141i | \(-0.644918\pi\) |
0.324162 | + | 0.946002i | \(0.394918\pi\) | |||||||
\(678\) | 1.73447 | − | 0.179687i | 0.0666120 | − | 0.00690084i | ||||
\(679\) | 1.22211 | + | 1.22211i | 0.0469002 | + | 0.0469002i | ||||
\(680\) | 48.3254 | + | 24.8958i | 1.85320 | + | 0.954711i | ||||
\(681\) | 20.5320i | 0.786787i | ||||||||
\(682\) | 0.252380 | − | 0.310715i | 0.00966412 | − | 0.0118979i | ||||
\(683\) | −17.1344 | + | 41.3661i | −0.655629 | + | 1.58283i | 0.148858 | + | 0.988859i | \(0.452440\pi\) |
−0.804487 | + | 0.593970i | \(0.797560\pi\) | |||||||
\(684\) | −4.20206 | + | 2.86959i | −0.160670 | + | 0.109722i | ||||
\(685\) | −42.9866 | − | 17.8056i | −1.64243 | − | 0.680318i | ||||
\(686\) | −1.57438 | − | 2.90998i | −0.0601101 | − | 0.111104i | ||||
\(687\) | 10.9169 | − | 10.9169i | 0.416505 | − | 0.416505i | ||||
\(688\) | −21.6923 | + | 22.5876i | −0.827010 | + | 0.861146i | ||||
\(689\) | −8.84430 | − | 1.49806i | −0.336941 | − | 0.0570714i | ||||
\(690\) | 8.48173 | − | 4.58885i | 0.322894 | − | 0.174694i | ||||
\(691\) | −0.00225565 | 0.000934320i | −8.58089e−5 | 3.55432e-5i | −0.382726 | − | 0.923862i | \(-0.625015\pi\) | ||
0.382641 | + | 0.923897i | \(0.375015\pi\) | |||||||
\(692\) | 9.63477 | + | 14.1086i | 0.366259 | + | 0.536328i | ||||
\(693\) | 0.0173064 | − | 0.00716853i | 0.000657414 | − | 0.000272310i | ||||
\(694\) | 25.8003 | − | 31.7638i | 0.979365 | − | 1.20574i | ||||
\(695\) | 4.28408 | 0.162504 | ||||||||
\(696\) | −2.97035 | + | 2.51404i | −0.112591 | + | 0.0952944i | ||||
\(697\) | 7.51053i | 0.284482i | ||||||||
\(698\) | −12.8899 | + | 15.8692i | −0.487889 | + | 0.600659i | ||||
\(699\) | −15.1504 | + | 6.27552i | −0.573042 | + | 0.237362i | ||||
\(700\) | 3.71794 | − | 0.778697i | 0.140525 | − | 0.0294320i | ||||
\(701\) | −11.2131 | − | 4.64462i | −0.423513 | − | 0.175425i | 0.160739 | − | 0.986997i | \(-0.448612\pi\) |
−0.584252 | + | 0.811572i | \(0.698612\pi\) | |||||||
\(702\) | −9.28659 | − | 27.2775i | −0.350500 | − | 1.02952i | ||||
\(703\) | 30.5965i | 1.15397i | ||||||||
\(704\) | 0.530178 | − | 0.848055i | 0.0199818 | − | 0.0319623i | ||||
\(705\) | 42.6468 | 1.60617 | ||||||||
\(706\) | −8.56579 | + | 28.7602i | −0.322378 | + | 1.08240i | ||||
\(707\) | −0.717984 | − | 1.73337i | −0.0270026 | − | 0.0651899i | ||||
\(708\) | 35.6963 | − | 7.47635i | 1.34155 | − | 0.280978i | ||||
\(709\) | −12.7466 | + | 30.7731i | −0.478709 | + | 1.15571i | 0.481505 | + | 0.876443i | \(0.340090\pi\) |
−0.960215 | + | 0.279263i | \(0.909910\pi\) | |||||||
\(710\) | −70.7600 | + | 7.33057i | −2.65558 | + | 0.275111i | ||||
\(711\) | −9.10106 | − | 9.10106i | −0.341317 | − | 0.341317i | ||||
\(712\) | 1.48680 | − | 17.8697i | 0.0557201 | − | 0.669695i | ||||
\(713\) | −2.63215 | −0.0985748 | ||||||||
\(714\) | 0.168320 | + | 1.62475i | 0.00629923 | + | 0.0608048i | ||||
\(715\) | 0.406398 | + | 1.77636i | 0.0151984 | + | 0.0664320i | ||||
\(716\) | −4.81579 | + | 3.28871i | −0.179974 | + | 0.122905i | ||||
\(717\) | −0.406852 | − | 0.982227i | −0.0151942 | − | 0.0366819i | ||||
\(718\) | −4.56624 | − | 8.43994i | −0.170411 | − | 0.314976i | ||||
\(719\) | 39.5495i | 1.47495i | 0.675376 | + | 0.737474i | \(0.263982\pi\) | ||||
−0.675376 | + | 0.737474i | \(0.736018\pi\) | |||||||
\(720\) | −10.0230 | + | 10.4368i | −0.373537 | + | 0.388955i | ||||
\(721\) | 0.995515 | − | 0.995515i | 0.0370749 | − | 0.0370749i | ||||
\(722\) | 14.7958 | + | 4.40672i | 0.550644 | + | 0.164001i | ||||
\(723\) | 8.15136 | + | 19.6791i | 0.303152 | + | 0.731874i | ||||
\(724\) | −5.68318 | + | 30.1617i | −0.211214 | + | 1.12095i | ||||
\(725\) | −9.93726 | + | 4.11615i | −0.369061 | + | 0.152870i | ||||
\(726\) | 14.2102 | − | 17.4948i | 0.527392 | − | 0.649294i | ||||
\(727\) | 2.37508 | + | 2.37508i | 0.0880869 | + | 0.0880869i | 0.749777 | − | 0.661690i | \(-0.230161\pi\) |
−0.661690 | + | 0.749777i | \(0.730161\pi\) | |||||||
\(728\) | 1.02455 | − | 1.36608i | 0.0379725 | − | 0.0506303i | ||||
\(729\) | −20.8827 | + | 20.8827i | −0.773432 | + | 0.773432i | ||||
\(730\) | −5.26272 | − | 50.7996i | −0.194782 | − | 1.88018i | ||||
\(731\) | −14.2442 | − | 34.3887i | −0.526843 | − | 1.27191i | ||||
\(732\) | −2.17434 | − | 10.3815i | −0.0803657 | − | 0.383712i | ||||
\(733\) | −12.7302 | + | 5.27301i | −0.470200 | + | 0.194763i | −0.605186 | − | 0.796084i | \(-0.706901\pi\) |
0.134986 | + | 0.990848i | \(0.456901\pi\) | |||||||
\(734\) | −4.84899 | − | 8.96256i | −0.178979 | − | 0.330814i | ||||
\(735\) | −28.9166 | − | 28.9166i | −1.06660 | − | 1.06660i | ||||
\(736\) | −6.52635 | + | 0.809781i | −0.240565 | + | 0.0298489i | ||||
\(737\) | 0.713907 | 0.0262971 | ||||||||
\(738\) | −1.91602 | − | 0.570660i | −0.0705298 | − | 0.0210063i | ||||
\(739\) | 35.0677 | − | 14.5255i | 1.28998 | − | 0.534329i | 0.371004 | − | 0.928631i | \(-0.379014\pi\) |
0.918981 | + | 0.394302i | \(0.129014\pi\) | |||||||
\(740\) | 17.8365 | + | 85.1614i | 0.655681 | + | 3.13059i | ||||
\(741\) | 7.90678 | − | 12.5979i | 0.290463 | − | 0.462794i | ||||
\(742\) | −0.371439 | + | 0.457294i | −0.0136360 | + | 0.0167878i | ||||
\(743\) | 11.2363i | 0.412219i | 0.978529 | + | 0.206109i | \(0.0660802\pi\) | ||||
−0.978529 | + | 0.206109i | \(0.933920\pi\) | |||||||
\(744\) | −8.84946 | + | 2.83168i | −0.324437 | + | 0.103814i | ||||
\(745\) | 5.80149 | − | 5.80149i | 0.212550 | − | 0.212550i | ||||
\(746\) | −28.5596 | + | 35.1609i | −1.04564 | + | 1.28733i | ||||
\(747\) | 9.16252 | + | 3.79524i | 0.335239 | + | 0.138861i | ||||
\(748\) | 0.670378 | + | 0.981662i | 0.0245114 | + | 0.0358931i | ||||
\(749\) | 2.92521 | − | 1.21166i | 0.106885 | − | 0.0442731i | ||||
\(750\) | 46.2768 | − | 25.0370i | 1.68979 | − | 0.914222i | ||||
\(751\) | − | 3.24205i | − | 0.118304i | −0.998249 | − | 0.0591520i | \(-0.981160\pi\) | ||
0.998249 | − | 0.0591520i | \(-0.0188396\pi\) | |||||||
\(752\) | −27.0887 | − | 10.5841i | −0.987824 | − | 0.385962i | ||||
\(753\) | 41.8095 | 1.52362 | ||||||||
\(754\) | −2.13468 | + | 4.33843i | −0.0777403 | + | 0.157996i | ||||
\(755\) | 23.4863 | − | 56.7008i | 0.854752 | − | 2.06355i | ||||
\(756\) | −1.85975 | − | 0.350422i | −0.0676386 | − | 0.0127447i | ||||
\(757\) | 9.49906 | + | 22.9328i | 0.345249 | + | 0.833505i | 0.997167 | + | 0.0752157i | \(0.0239645\pi\) |
−0.651918 | + | 0.758289i | \(0.726035\pi\) | |||||||
\(758\) | −20.0826 | + | 2.08050i | −0.729431 | + | 0.0755673i | ||||
\(759\) | 0.210876 | 0.00765431 | ||||||||
\(760\) | −32.3977 | − | 2.69556i | −1.17519 | − | 0.0977783i | ||||
\(761\) | − | 6.33846i | − | 0.229769i | −0.993379 | − | 0.114884i | \(-0.963350\pi\) | ||
0.993379 | − | 0.114884i | \(-0.0366498\pi\) | |||||||
\(762\) | 2.98773 | + | 28.8397i | 0.108234 | + | 1.04475i | ||||
\(763\) | 0.156926 | + | 0.378854i | 0.00568111 | + | 0.0137154i | ||||
\(764\) | −21.5704 | − | 14.0996i | −0.780391 | − | 0.510105i | ||||
\(765\) | −6.58164 | − | 15.8895i | −0.237960 | − | 0.574485i | ||||
\(766\) | −5.69054 | − | 1.69484i | −0.205608 | − | 0.0612372i | ||||
\(767\) | 36.9441 | − | 26.2416i | 1.33397 | − | 0.947530i | ||||
\(768\) | −21.0708 | + | 9.74362i | −0.760329 | + | 0.351593i | ||||
\(769\) | 5.25446 | + | 5.25446i | 0.189481 | + | 0.189481i | 0.795472 | − | 0.605991i | \(-0.207223\pi\) |
−0.605991 | + | 0.795472i | \(0.707223\pi\) | |||||||
\(770\) | 0.114701 | + | 0.0341619i | 0.00413352 | + | 0.00123111i | ||||
\(771\) | 0.827533 | − | 1.99784i | 0.0298029 | − | 0.0719505i | ||||
\(772\) | −6.28654 | − | 30.0155i | −0.226257 | − | 1.08028i | ||||
\(773\) | −10.3185 | − | 4.27408i | −0.371132 | − | 0.153728i | 0.189319 | − | 0.981916i | \(-0.439372\pi\) |
−0.560451 | + | 0.828188i | \(0.689372\pi\) | |||||||
\(774\) | 9.85524 | − | 1.02098i | 0.354239 | − | 0.0366983i | ||||
\(775\) | −25.6817 | −0.922514 | ||||||||
\(776\) | −18.8609 | − | 22.2842i | −0.677066 | − | 0.799957i | ||||
\(777\) | −1.84869 | + | 1.84869i | −0.0663216 | + | 0.0663216i | ||||
\(778\) | 33.2374 | − | 40.9199i | 1.19162 | − | 1.46705i | ||||
\(779\) | −1.71883 | − | 4.14963i | −0.0615835 | − | 0.148676i | ||||
\(780\) | 14.6635 | − | 39.6738i | 0.525036 | − | 1.42055i | ||||
\(781\) | −1.43719 | − | 0.595302i | −0.0514266 | − | 0.0213016i | ||||
\(782\) | 2.23115 | − | 7.49121i | 0.0797857 | − | 0.267885i | ||||
\(783\) | 5.35867 | 0.191503 | ||||||||
\(784\) | 11.1909 | + | 25.5440i | 0.399676 | + | 0.912285i | ||||
\(785\) | −8.79371 | + | 8.79371i | −0.313861 | + | 0.313861i | ||||
\(786\) | −10.7542 | + | 36.1079i | −0.383590 | + | 1.28793i | ||||
\(787\) | −3.34644 | − | 8.07902i | −0.119288 | − | 0.287986i | 0.852946 | − | 0.522000i | \(-0.174814\pi\) |
−0.972233 | + | 0.234014i | \(0.924814\pi\) | |||||||
\(788\) | 3.55511 | − | 2.42779i | 0.126646 | − | 0.0864864i | ||||
\(789\) | 16.2410 | + | 39.2091i | 0.578193 | + | 1.39588i | ||||
\(790\) | −8.47363 | − | 81.7936i | −0.301478 | − | 2.91009i | ||||
\(791\) | − | 0.142298i | − | 0.00505952i | ||||||
\(792\) | −0.301369 | + | 0.0964333i | −0.0107087 | + | 0.00342661i | ||||
\(793\) | −7.63181 | − | 10.7444i | −0.271014 | − | 0.381544i | ||||
\(794\) | 2.40868 | + | 1.95646i | 0.0854808 | + | 0.0694322i | ||||
\(795\) | −5.58445 | + | 13.4821i | −0.198060 | + | 0.478159i | ||||
\(796\) | 1.82755 | + | 8.72576i | 0.0647758 | + | 0.309276i | ||||
\(797\) | −48.3650 | − | 20.0334i | −1.71318 | − | 0.709621i | −0.999962 | − | 0.00867511i | \(-0.997239\pi\) |
−0.713214 | − | 0.700946i | \(-0.752761\pi\) | |||||||
\(798\) | −0.464832 | − | 0.859166i | −0.0164549 | − | 0.0304141i | ||||
\(799\) | 24.4424 | − | 24.4424i | 0.864710 | − | 0.864710i | ||||
\(800\) | −63.6771 | + | 7.90098i | −2.25133 | + | 0.279342i | ||||
\(801\) | −4.01148 | + | 4.01148i | −0.141739 | + | 0.141739i | ||||
\(802\) | −0.771973 | + | 2.59194i | −0.0272593 | + | 0.0915247i | ||||
\(803\) | 0.427375 | − | 1.03178i | 0.0150818 | − | 0.0364106i | ||||
\(804\) | −13.8704 | − | 9.06645i | −0.489172 | − | 0.319749i | ||||
\(805\) | −0.301153 | − | 0.727047i | −0.0106142 | − | 0.0256250i | ||||
\(806\) | −8.67301 | + | 7.61971i | −0.305494 | + | 0.268393i | ||||
\(807\) | 6.92468 | + | 6.92468i | 0.243760 | + | 0.243760i | ||||
\(808\) | 9.65854 | + | 30.1845i | 0.339786 | + | 1.06189i | ||||
\(809\) | −22.9976 | − | 22.9976i | −0.808554 | − | 0.808554i | 0.175861 | − | 0.984415i | \(-0.443729\pi\) |
−0.984415 | + | 0.175861i | \(0.943729\pi\) | |||||||
\(810\) | −31.3606 | + | 3.24888i | −1.10190 | + | 0.114154i | ||||
\(811\) | −42.9227 | − | 17.7792i | −1.50722 | − | 0.624311i | −0.532238 | − | 0.846595i | \(-0.678649\pi\) |
−0.974982 | + | 0.222284i | \(0.928649\pi\) | |||||||
\(812\) | 0.179086 | + | 0.262243i | 0.00628469 | + | 0.00920293i | ||||
\(813\) | −26.0061 | + | 10.7721i | −0.912074 | + | 0.377793i | ||||
\(814\) | −0.543097 | + | 1.82348i | −0.0190356 | + | 0.0639130i | ||||
\(815\) | 44.8509 | 1.57106 | ||||||||
\(816\) | −0.557825 | − | 27.5862i | −0.0195278 | − | 0.965711i | ||||
\(817\) | 15.7401 | + | 15.7401i | 0.550677 | + | 0.550677i | ||||
\(818\) | −15.6375 | − | 28.9033i | −0.546751 | − | 1.01058i | ||||
\(819\) | −0.526638 | + | 0.120485i | −0.0184022 | + | 0.00421008i | ||||
\(820\) | −7.20319 | − | 10.5479i | −0.251546 | − | 0.368350i | ||||
\(821\) | −12.2894 | + | 29.6693i | −0.428903 | + | 1.03546i | 0.550732 | + | 0.834682i | \(0.314348\pi\) |
−0.979636 | + | 0.200782i | \(0.935652\pi\) | |||||||
\(822\) | 2.43355 | + | 23.4904i | 0.0848799 | + | 0.819323i | ||||
\(823\) | 11.8152 | + | 11.8152i | 0.411852 | + | 0.411852i | 0.882383 | − | 0.470531i | \(-0.155938\pi\) |
−0.470531 | + | 0.882383i | \(0.655938\pi\) | |||||||
\(824\) | −18.1525 | + | 15.3638i | −0.632371 | + | 0.535225i | ||||
\(825\) | 2.05750 | 0.0716329 | ||||||||
\(826\) | −0.306683 | − | 2.96033i | −0.0106709 | − | 0.103003i | ||||
\(827\) | 27.6770 | + | 11.4642i | 0.962424 | + | 0.398649i | 0.807887 | − | 0.589338i | \(-0.200611\pi\) |
0.154537 | + | 0.987987i | \(0.450611\pi\) | |||||||
\(828\) | 1.74157 | + | 1.13838i | 0.0605237 | + | 0.0395616i | ||||
\(829\) | −43.1698 | − | 17.8815i | −1.49935 | − | 0.621050i | −0.526021 | − | 0.850472i | \(-0.676317\pi\) |
−0.973327 | + | 0.229421i | \(0.926317\pi\) | |||||||
\(830\) | 30.1508 | + | 55.7287i | 1.04655 | + | 1.93437i | ||||
\(831\) | −38.2360 | −1.32639 | ||||||||
\(832\) | −19.1603 | + | 21.5611i | −0.664265 | + | 0.747498i | ||||
\(833\) | −33.1463 | −1.14845 | ||||||||
\(834\) | −1.03471 | − | 1.91249i | −0.0358290 | − | 0.0662240i | ||||
\(835\) | 6.10207 | + | 2.52756i | 0.211171 | + | 0.0874698i | ||||
\(836\) | −0.595048 | − | 0.388955i | −0.0205802 | − | 0.0134523i | ||||
\(837\) | 11.8208 | + | 4.89632i | 0.408585 | + | 0.169241i | ||||
\(838\) | −0.890265 | − | 8.59349i | −0.0307537 | − | 0.296857i | ||||
\(839\) | 24.5761 | 0.848461 | 0.424230 | − | 0.905554i | \(-0.360545\pi\) | ||||
0.424230 | + | 0.905554i | \(0.360545\pi\) | |||||||
\(840\) | −1.79466 | − | 2.12040i | −0.0619215 | − | 0.0731606i | ||||
\(841\) | 19.8703 | + | 19.8703i | 0.685182 | + | 0.685182i | ||||
\(842\) | −2.51934 | − | 24.3186i | −0.0868223 | − | 0.838073i | ||||
\(843\) | 17.7266 | − | 42.7959i | 0.610538 | − | 1.47397i | ||||
\(844\) | −15.5822 | − | 22.8176i | −0.536361 | − | 0.785415i | ||||
\(845\) | −3.00039 | − | 52.4686i | −0.103217 | − | 1.80498i | ||||
\(846\) | 4.37837 | + | 8.09270i | 0.150532 | + | 0.278233i | ||||
\(847\) | −1.30056 | − | 1.30056i | −0.0446876 | − | 0.0446876i | ||||
\(848\) | 6.89316 | − | 7.17769i | 0.236712 | − | 0.246483i | ||||
\(849\) | 25.7926 | 0.885200 | ||||||||
\(850\) | 21.7692 | − | 73.0912i | 0.746676 | − | 2.50701i | ||||
\(851\) | 11.5584 | − | 4.78765i | 0.396217 | − | 0.164119i | ||||
\(852\) | 20.3627 | + | 29.8180i | 0.697615 | + | 1.02155i | ||||
\(853\) | 14.3436 | + | 5.94133i | 0.491116 | + | 0.203427i | 0.614477 | − | 0.788935i | \(-0.289367\pi\) |
−0.123360 | + | 0.992362i | \(0.539367\pi\) | |||||||
\(854\) | −0.860948 | + | 0.0891922i | −0.0294610 | + | 0.00305209i | ||||
\(855\) | 7.27281 | + | 7.27281i | 0.248725 | + | 0.248725i | ||||
\(856\) | −50.9389 | + | 16.2996i | −1.74106 | + | 0.557110i | ||||
\(857\) | 11.7757 | + | 11.7757i | 0.402251 | + | 0.402251i | 0.879026 | − | 0.476774i | \(-0.158194\pi\) |
−0.476774 | + | 0.879026i | \(0.658194\pi\) | |||||||
\(858\) | 0.694842 | − | 0.610456i | 0.0237215 | − | 0.0208406i | ||||
\(859\) | −7.95322 | − | 19.2008i | −0.271360 | − | 0.655122i | 0.728182 | − | 0.685384i | \(-0.240366\pi\) |
−0.999542 | + | 0.0302622i | \(0.990366\pi\) | |||||||
\(860\) | 52.9863 | + | 34.6347i | 1.80682 | + | 1.18103i | ||||
\(861\) | 0.146873 | − | 0.354582i | 0.00500541 | − | 0.0120841i | ||||
\(862\) | −2.71007 | + | 9.09922i | −0.0923054 | + | 0.309921i | ||||
\(863\) | −40.6507 | + | 40.6507i | −1.38377 | + | 1.38377i | −0.545949 | + | 0.837818i | \(0.683831\pi\) |
−0.837818 | + | 0.545949i | \(0.816169\pi\) | |||||||
\(864\) | 30.8156 | + | 8.50364i | 1.04837 | + | 0.289300i | ||||
\(865\) | 24.4187 | − | 24.4187i | 0.830262 | − | 0.830262i | ||||
\(866\) | −23.7914 | − | 43.9744i | −0.808464 | − | 1.49431i | ||||
\(867\) | 7.51014 | + | 3.11080i | 0.255058 | + | 0.105648i | ||||
\(868\) | 0.155432 | + | 0.742120i | 0.00527570 | + | 0.0251892i | ||||
\(869\) | 0.688128 | − | 1.66129i | 0.0233431 | − | 0.0563553i | ||||
\(870\) | 6.10555 | + | 4.95926i | 0.206997 | + | 0.168135i | ||||
\(871\) | −20.3002 | − | 3.43846i | −0.687845 | − | 0.116508i | ||||
\(872\) | −2.11102 | − | 6.59728i | −0.0714882 | − | 0.223412i | ||||
\(873\) | 9.23647i | 0.312607i | ||||||||
\(874\) | 0.481684 | + | 4.64956i | 0.0162932 | + | 0.157274i | ||||
\(875\) | −1.64311 | − | 3.96681i | −0.0555471 | − | 0.134103i | ||||
\(876\) | −21.4067 | + | 14.6187i | −0.723266 | + | 0.493919i | ||||
\(877\) | 11.6600 | + | 28.1496i | 0.393729 | + | 0.950545i | 0.989120 | + | 0.147109i | \(0.0469969\pi\) |
−0.595392 | + | 0.803436i | \(0.703003\pi\) | |||||||
\(878\) | 12.0796 | − | 40.5578i | 0.407665 | − | 1.36876i | ||||
\(879\) | −5.92861 | + | 5.92861i | −0.199967 | + | 0.199967i | ||||
\(880\) | −1.88298 | − | 0.735718i | −0.0634753 | − | 0.0248011i | ||||
\(881\) | 5.99203 | 0.201877 | 0.100938 | − | 0.994893i | \(-0.467816\pi\) | ||||
0.100938 | + | 0.994893i | \(0.467816\pi\) | |||||||
\(882\) | 2.51849 | − | 8.45599i | 0.0848021 | − | 0.284728i | ||||
\(883\) | −40.2702 | − | 16.6805i | −1.35520 | − | 0.561342i | −0.417464 | − | 0.908693i | \(-0.637081\pi\) |
−0.937735 | + | 0.347351i | \(0.887081\pi\) | |||||||
\(884\) | −14.3343 | − | 31.1426i | −0.482115 | − | 1.04744i | ||||
\(885\) | −28.2112 | − | 68.1077i | −0.948308 | − | 2.28942i | ||||
\(886\) | 16.9405 | − | 20.8562i | 0.569129 | − | 0.700678i | ||||
\(887\) | −25.5472 | + | 25.5472i | −0.857791 | + | 0.857791i | −0.991078 | − | 0.133287i | \(-0.957447\pi\) |
0.133287 | + | 0.991078i | \(0.457447\pi\) | |||||||
\(888\) | 33.7095 | − | 28.5310i | 1.13122 | − | 0.957438i | ||||
\(889\) | 2.36604 | 0.0793543 | ||||||||
\(890\) | −36.0522 | + | 3.73493i | −1.20847 | + | 0.125195i | ||||
\(891\) | −0.636955 | − | 0.263836i | −0.0213388 | − | 0.00883882i | ||||
\(892\) | 6.65163 | + | 31.7586i | 0.222713 | + | 1.06336i | ||||
\(893\) | −7.91082 | + | 19.0984i | −0.264725 | + | 0.639104i | ||||
\(894\) | −3.99108 | − | 1.18869i | −0.133482 | − | 0.0397556i | ||||
\(895\) | 8.33503 | + | 8.33503i | 0.278609 | + | 0.278609i | ||||
\(896\) | 0.613702 | + | 1.79225i | 0.0205024 | + | 0.0598748i | ||||
\(897\) | −5.99631 | − | 1.01566i | −0.200211 | − | 0.0339119i | ||||
\(898\) | 20.2770 | + | 6.03921i | 0.676652 | + | 0.201531i | ||||
\(899\) | −0.821603 | − | 1.98353i | −0.0274020 | − | 0.0661543i | ||||
\(900\) | 16.9924 | + | 11.1071i | 0.566412 | + | 0.370238i | ||||
\(901\) | 4.52640 | + | 10.9277i | 0.150796 | + | 0.364054i | ||||
\(902\) | −0.0287813 | − | 0.277818i | −0.000958311 | − | 0.00925032i | ||||
\(903\) | 1.90209i | 0.0632976i | ||||||||
\(904\) | −0.199301 | + | 2.39539i | −0.00662867 | + | 0.0796694i | ||||
\(905\) | 62.0393 | 2.06225 | ||||||||
\(906\) | −30.9847 | + | 3.20994i | −1.02940 | + | 0.106643i | ||||
\(907\) | −3.10397 | − | 7.49364i | −0.103066 | − | 0.248822i | 0.863932 | − | 0.503609i | \(-0.167995\pi\) |
−0.966997 | + | 0.254787i | \(0.917995\pi\) | |||||||
\(908\) | −27.8127 | − | 5.24058i | −0.922997 | − | 0.173915i | ||||
\(909\) | 3.83703 | − | 9.26342i | 0.127266 | − | 0.307248i | ||||
\(910\) | −3.09701 | − | 1.52385i | −0.102665 | − | 0.0505150i | ||||
\(911\) | −52.0385 | −1.72411 | −0.862056 | − | 0.506814i | \(-0.830823\pi\) | ||||
−0.862056 | + | 0.506814i | \(0.830823\pi\) | |||||||
\(912\) | 6.62148 | + | 15.1139i | 0.219259 | + | 0.500472i | ||||
\(913\) | 1.38555i | 0.0458549i | ||||||||
\(914\) | −10.5398 | + | 5.70231i | −0.348625 | + | 0.188616i | ||||
\(915\) | −19.8077 | + | 8.20461i | −0.654822 | + | 0.271236i | ||||
\(916\) | 12.0016 | + | 17.5745i | 0.396545 | + | 0.580677i | ||||
\(917\) | 2.84044 | + | 1.17655i | 0.0937996 | + | 0.0388530i | ||||
\(918\) | −23.9550 | + | 29.4920i | −0.790633 | + | 0.973381i | ||||
\(919\) | −6.59859 | + | 6.59859i | −0.217667 | + | 0.217667i | −0.807515 | − | 0.589847i | \(-0.799188\pi\) |
0.589847 | + | 0.807515i | \(0.299188\pi\) | |||||||
\(920\) | 4.05120 | + | 12.6606i | 0.133564 | + | 0.417409i | ||||
\(921\) | 34.4306i | 1.13453i | ||||||||
\(922\) | 18.9836 | − | 23.3715i | 0.625191 | − | 0.769698i | ||||
\(923\) | 37.9996 | + | 23.8496i | 1.25077 | + | 0.785020i | ||||
\(924\) | −0.0124525 | − | 0.0594552i | −0.000409656 | − | 0.00195593i | ||||
\(925\) | 112.775 | − | 46.7128i | 3.70801 | − | 1.53591i | ||||
\(926\) | −35.2898 | − | 10.5106i | −1.15970 | − | 0.345398i | ||||
\(927\) | 7.52392 | 0.247118 | ||||||||
\(928\) | −2.64738 | − | 4.66534i | −0.0869044 | − | 0.153147i | ||||
\(929\) | 21.4042 | + | 21.4042i | 0.702248 | + | 0.702248i | 0.964893 | − | 0.262644i | \(-0.0845946\pi\) |
−0.262644 | + | 0.964893i | \(0.584595\pi\) | |||||||
\(930\) | 8.93693 | + | 16.5184i | 0.293053 | + | 0.541661i | ||||
\(931\) | 18.3136 | − | 7.58572i | 0.600202 | − | 0.248612i | ||||
\(932\) | −4.63385 | − | 22.1246i | −0.151787 | − | 0.724716i | ||||
\(933\) | 12.5993 | + | 30.4173i | 0.412481 | + | 0.995818i | ||||
\(934\) | 5.33721 | + | 51.5187i | 0.174639 | + | 1.68574i | ||||
\(935\) | 1.69903 | − | 1.69903i | 0.0555643 | − | 0.0555643i | ||||
\(936\) | 9.03398 | − | 1.29059i | 0.295285 | − | 0.0421844i | ||||
\(937\) | −12.8168 | − | 12.8168i | −0.418706 | − | 0.418706i | 0.466052 | − | 0.884758i | \(-0.345676\pi\) |
−0.884758 | + | 0.466052i | \(0.845676\pi\) | |||||||
\(938\) | −0.852557 | + | 1.04962i | −0.0278370 | + | 0.0342712i | ||||
\(939\) | 6.45472 | − | 2.67363i | 0.210642 | − | 0.0872507i | ||||
\(940\) | −10.8852 | + | 57.7696i | −0.355035 | + | 1.88424i | ||||
\(941\) | −20.6559 | − | 49.8677i | −0.673362 | − | 1.62564i | −0.775859 | − | 0.630907i | \(-0.782683\pi\) |
0.102496 | − | 0.994733i | \(-0.467317\pi\) | |||||||
\(942\) | 6.04955 | + | 1.80177i | 0.197105 | + | 0.0587049i | ||||
\(943\) | −1.29864 | + | 1.29864i | −0.0422896 | + | 0.0422896i | ||||
\(944\) | 1.01637 | + | 50.2627i | 0.0330800 | + | 1.63591i | ||||
\(945\) | 3.82531i | 0.124437i | ||||||||
\(946\) | 0.658682 | + | 1.21747i | 0.0214156 | + | 0.0395832i | ||||
\(947\) | −10.1294 | − | 24.4546i | −0.329162 | − | 0.794666i | −0.998655 | − | 0.0518483i | \(-0.983489\pi\) |
0.669493 | − | 0.742818i | \(-0.266511\pi\) | |||||||
\(948\) | −34.4675 | + | 23.5379i | −1.11945 | + | 0.764475i | ||||
\(949\) | −17.1220 | + | 27.2804i | −0.555803 | + | 0.885560i | ||||
\(950\) | 4.69975 | + | 45.3655i | 0.152480 | + | 1.47185i | ||||
\(951\) | −38.1389 | −1.23674 | ||||||||
\(952\) | −2.24386 | − | 0.186694i | −0.0727238 | − | 0.00605078i | ||||
\(953\) | 6.86834 | + | 6.86834i | 0.222487 | + | 0.222487i | 0.809545 | − | 0.587058i | \(-0.199714\pi\) |
−0.587058 | + | 0.809545i | \(0.699714\pi\) | |||||||
\(954\) | −3.13170 | + | 0.324437i | −0.101393 | + | 0.0105040i | ||||
\(955\) | −19.9336 | + | 48.1240i | −0.645036 | + | 1.55725i | ||||
\(956\) | 1.43437 | − | 0.300420i | 0.0463910 | − | 0.00971627i | ||||
\(957\) | 0.0658231 | + | 0.158911i | 0.00212776 | + | 0.00513686i | ||||
\(958\) | 4.99367 | − | 16.7666i | 0.161338 | − | 0.541703i | ||||
\(959\) | 1.92718 | 0.0622317 | ||||||||
\(960\) | 27.2408 | + | 38.2076i | 0.879193 | + | 1.23314i | ||||
\(961\) | 25.8738i | 0.834639i | ||||||||
\(962\) | 24.2257 | − | 49.2354i | 0.781069 | − | 1.58741i | ||||
\(963\) | 15.6328 | + | 6.47533i | 0.503761 | + | 0.208665i | ||||
\(964\) | −28.7380 | + | 6.01897i | −0.925588 | + | 0.193858i | ||||
\(965\) | −57.2689 | + | 23.7215i | −1.84355 | + | 0.763623i | ||||
\(966\) | −0.251831 | + | 0.310039i | −0.00810252 | + | 0.00997534i | ||||
\(967\) | − | 39.4567i | − | 1.26884i | −0.772987 | − | 0.634422i | \(-0.781238\pi\) | ||
0.772987 | − | 0.634422i | \(-0.218762\pi\) | |||||||
\(968\) | 20.0715 | + | 23.7146i | 0.645124 | + | 0.762218i | ||||
\(969\) | −19.6121 | −0.630030 | ||||||||
\(970\) | −37.2054 | + | 45.8051i | −1.19459 | + | 1.47071i | ||||
\(971\) | −17.5788 | + | 7.28136i | −0.564129 | + | 0.233670i | −0.646477 | − | 0.762934i | \(-0.723758\pi\) |
0.0823474 | + | 0.996604i | \(0.473758\pi\) | |||||||
\(972\) | −10.0968 | − | 14.7852i | −0.323856 | − | 0.474235i | ||||
\(973\) | −0.163937 | + | 0.0679049i | −0.00525557 | + | 0.00217693i | ||||
\(974\) | 31.1011 | − | 16.8265i | 0.996542 | − | 0.539157i | ||||
\(975\) | −58.5056 | − | 9.90973i | −1.87368 | − | 0.317365i | ||||
\(976\) | 14.6178 | − | 0.295589i | 0.467905 | − | 0.00946157i | ||||
\(977\) | 23.0721 | − | 23.0721i | 0.738142 | − | 0.738142i | −0.234076 | − | 0.972218i | \(-0.575207\pi\) |
0.972218 | + | 0.234076i | \(0.0752065\pi\) | |||||||
\(978\) | −10.8326 | − | 20.0222i | −0.346387 | − | 0.640239i | ||||
\(979\) | −0.732246 | − | 0.303306i | −0.0234027 | − | 0.00969371i | ||||
\(980\) | 46.5512 | − | 31.7899i | 1.48702 | − | 1.01549i | ||||
\(981\) | −0.838642 | + | 2.02466i | −0.0267758 | + | 0.0646425i | ||||
\(982\) | 19.6568 | − | 24.2003i | 0.627274 | − | 0.772263i | ||||
\(983\) | 18.0009i | 0.574140i | 0.957910 | + | 0.287070i | \(0.0926813\pi\) | ||||
−0.957910 | + | 0.287070i | \(0.907319\pi\) | |||||||
\(984\) | −2.96903 | + | 5.76320i | −0.0946493 | + | 0.183724i | ||||
\(985\) | −6.15308 | − | 6.15308i | −0.196054 | − | 0.196054i | ||||
\(986\) | 6.34164 | − | 0.656978i | 0.201959 | − | 0.0209225i | ||||
\(987\) | −1.63194 | + | 0.675973i | −0.0519454 | + | 0.0215165i | ||||
\(988\) | 15.0470 | + | 13.9260i | 0.478709 | + | 0.443046i | ||||
\(989\) | 3.48316 | − | 8.40909i | 0.110758 | − | 0.267394i | ||||
\(990\) | 0.304348 | + | 0.562537i | 0.00967282 | + | 0.0178786i | ||||
\(991\) | − | 43.1924i | − | 1.37205i | −0.727577 | − | 0.686026i | \(-0.759354\pi\) | ||
0.727577 | − | 0.686026i | \(-0.240646\pi\) | |||||||
\(992\) | −1.57707 | − | 12.7103i | −0.0500722 | − | 0.403552i | ||||
\(993\) | −13.9545 | − | 13.9545i | −0.442833 | − | 0.442833i | ||||
\(994\) | 2.59155 | − | 1.40210i | 0.0821988 | − | 0.0444718i | ||||
\(995\) | 16.6486 | − | 6.89606i | 0.527795 | − | 0.218620i | ||||
\(996\) | 17.5961 | − | 26.9196i | 0.557554 | − | 0.852981i | ||||
\(997\) | −29.6069 | + | 12.2636i | −0.937660 | + | 0.388392i | −0.798579 | − | 0.601889i | \(-0.794415\pi\) |
−0.139081 | + | 0.990281i | \(0.544415\pi\) | |||||||
\(998\) | 9.19037 | + | 7.46493i | 0.290916 | + | 0.236298i | ||||
\(999\) | −60.8138 | −1.92406 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 416.2.bi.a.307.19 | yes | 216 | |
13.5 | odd | 4 | 416.2.bd.a.83.10 | ✓ | 216 | ||
32.27 | odd | 8 | 416.2.bd.a.411.10 | yes | 216 | ||
416.187 | even | 8 | inner | 416.2.bi.a.187.19 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
416.2.bd.a.83.10 | ✓ | 216 | 13.5 | odd | 4 | ||
416.2.bd.a.411.10 | yes | 216 | 32.27 | odd | 8 | ||
416.2.bi.a.187.19 | yes | 216 | 416.187 | even | 8 | inner | |
416.2.bi.a.307.19 | yes | 216 | 1.1 | even | 1 | trivial |